3715004160 has 432 divisors, whose sum is σ = 15336082944. Its totient is φ = 811819008.

The previous prime is 3715004149. The next prime is 3715004171. The reversal of 3715004160 is 614005173.

It is an interprime number because it is at equal distance from previous prime (3715004149) and next prime (3715004171).

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

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 47 ways as a sum of consecutive naturals, for example, 1853719 + ... + 1855721.

It is an arithmetic number, because the mean of its divisors is an integer number (35500192).

Almost surely, 2^3715004160 is an apocalyptic number.

3715004160 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 3715004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668041472).

3715004160 is an abundant number, since it is smaller than the sum of its proper divisors (11621078784).

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

3715004160 is a wasteful number, since it uses less digits than its factorization.

3715004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3715004160 is about 60950.8339565588. The cubic root of 3715004160 is about 1548.7682423536.

The spelling of 3715004160 in words is "three billion, seven hundred fifteen million, four thousand, one hundred sixty".