3801576240 has 800 divisors, whose sum is σ = 17371031040. Its totient is φ = 746496000.

The previous prime is 3801576173. The next prime is 3801576241. The reversal of 3801576240 is 426751083.

3801576240 is a `hidden beast` number, since 3 + 80 + 1 + 576 + 2 + 4 + 0 = 666.

3801576240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3801576195 and 3801576204.

It is not an unprimeable number, because it can be changed into a prime (3801576241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9480040 + ... + 9480440.

Almost surely, 2^3801576240 is an apocalyptic number.

3801576240 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 3801576240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685515520).

3801576240 is an abundant number, since it is smaller than the sum of its proper divisors (13569454800).

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

3801576240 is a wasteful number, since it uses less digits than its factorization.

3801576240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3801576240 is about 61656.9236988029. The cubic root of 3801576240 is about 1560.7064847363.

The spelling of 3801576240 in words is "three billion, eight hundred one million, five hundred seventy-six thousand, two hundred forty".