3811604160 has 672 divisors, whose sum is σ = 15878080512. Its totient is φ = 766402560.

The previous prime is 3811604129. The next prime is 3811604177. The reversal of 3811604160 is 614061183.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14064825 + ... + 14065095.

It is an arithmetic number, because the mean of its divisors is an integer number (23628096).

Almost surely, 2^3811604160 is an apocalyptic number.

3811604160 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 3811604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939040256).

3811604160 is an abundant number, since it is smaller than the sum of its proper divisors (12066476352).

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

3811604160 is a wasteful number, since it uses less digits than its factorization.

3811604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3811604160 is about 61738.1904496722. The cubic root of 3811604160 is about 1562.0775737849.

The spelling of 3811604160 in words is "three billion, eight hundred eleven million, six hundred four thousand, one hundred sixty".