3896100 has 180 divisors, whose sum is σ = 13968724. Its totient is φ = 933120.

The previous prime is 3896099. The next prime is 3896129. The reversal of 3896100 is 16983.

It can be written as a sum of positive squares in 6 ways, for example, as 46656 + 3849444 = 216^2 + 1962^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105282 + ... + 105318.

Almost surely, 2^3896100 is an apocalyptic number.

3896100 is a gapful number since it is divisible by the number (30) 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 3896100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984362).

3896100 is an abundant number, since it is smaller than the sum of its proper divisors (10072624).

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

3896100 is a wasteful number, since it uses less digits than its factorization.

3896100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3896100 is about 1973.8540979515. The cubic root of 3896100 is about 157.3536054666.

The spelling of 3896100 in words is "three million, eight hundred ninety-six thousand, one hundred".