3857616 has 120 divisors (see below), whose sum is σ = 12767040. Its totient is φ = 1064448.

The previous prime is 3857611. The next prime is 3857621. The reversal of 3857616 is 6167583.

3857616 is a `hidden beast` number, since 38 + 5 + 7 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (3857611) and next prime (3857621).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (30240) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3857611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43300 + ... + 43388.

It is an arithmetic number, because the mean of its divisors is an integer number (106392).

Almost surely, 2^3857616 is an apocalyptic number.

3857616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3857616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383520).

3857616 is an abundant number, since it is smaller than the sum of its proper divisors (8909424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3857616 is a wasteful number, since it uses less digits than its factorization.

3857616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3857616 is about 1964.0814647056. The cubic root of 3857616 is about 156.8337998079.

It can be divided in two parts, 385 and 7616, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 3857616 in words is "three million, eight hundred fifty-seven thousand, six hundred sixteen".