3801601152 has 48 divisors (see below), whose sum is σ = 10939506630. Its totient is φ = 1267200000.

The previous prime is 3801601127. The next prime is 3801601163. The reversal of 3801601152 is 2511061083.

3801601152 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 601 + 1 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2059707456 + 1741893696 = 45384^2 + 41736^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1648849 + ... + 1651152.

Almost surely, 2^3801601152 is an apocalyptic number.

3801601152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3801601152 is an abundant number, since it is smaller than the sum of its proper divisors (7137905478).

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

3801601152 is a wasteful number, since it uses less digits than its factorization.

3801601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300021 (or 3300006 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 3801601152 is about 61657.1257195792. The cubic root of 3801601152 is about 1560.7098938691.

The spelling of 3801601152 in words is "three billion, eight hundred one million, six hundred one thousand, one hundred fifty-two".