3815915160 has 128 divisors (see below), whose sum is σ = 12168000000. Its totient is φ = 954602496.

The previous prime is 3815915143. The next prime is 3815915189. The reversal of 3815915160 is 615195183.

It is a super-2 number, since 2×3815915160² = 29122417016635651200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226716 + ... + 242964.

It is an arithmetic number, because the mean of its divisors is an integer number (95062500).

Almost surely, 2^3815915160 is an apocalyptic number.

3815915160 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 3815915160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084000000).

3815915160 is an abundant number, since it is smaller than the sum of its proper divisors (8352084840).

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

3815915160 is a wasteful number, since it uses less digits than its factorization.

3815915160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16385 (or 16381 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 3815915160 is about 61773.0941430005. The cubic root of 3815915160 is about 1562.6662654857. Note that the first 3 decimals are identical.

The spelling of 3815915160 in words is "three billion, eight hundred fifteen million, nine hundred fifteen thousand, one hundred sixty".