3801576960 has 120 divisors (see below), whose sum is σ = 13166010000. Its totient is φ = 1013747712.

The previous prime is 3801576931. The next prime is 3801576967. The reversal of 3801576960 is 696751083.

It is a happy number.

3801576960 is a `hidden beast` number, since 380 + 157 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801576967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59460 + ... + 105539.

It is an arithmetic number, because the mean of its divisors is an integer number (109716750).

Almost surely, 2^3801576960 is an apocalyptic number.

3801576960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3801576960 is an abundant number, since it is smaller than the sum of its proper divisors (9364433040).

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

3801576960 is a wasteful number, since it uses less digits than its factorization.

3801576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165028 (or 165009 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3801576960 is about 61656.9295375629. The cubic root of 3801576960 is about 1560.7065832663.

The spelling of 3801576960 in words is "three billion, eight hundred one million, five hundred seventy-six thousand, nine hundred sixty".