3845040 has 80 divisors (see below), whose sum is σ = 12270048. Its totient is φ = 995328.

The previous prime is 3845033. The next prime is 3845041. The reversal of 3845040 is 405483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3845040.

It is not an unprimeable number, because it can be changed into a prime (3845041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8664 + ... + 9096.

Almost surely, 2^3845040 is an apocalyptic number.

3845040 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 3845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135024).

3845040 is an abundant number, since it is smaller than the sum of its proper divisors (8425008).

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

3845040 is a wasteful number, since it uses less digits than its factorization.

3845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3845040 is about 1960.8773546553. The cubic root of 3845040 is about 156.6631858791.

The spelling of 3845040 in words is "three million, eight hundred forty-five thousand, forty".