3751608960 has 896 divisors, whose sum is σ = 15893444160. Its totient is φ = 836075520.

The previous prime is 3751608953. The next prime is 3751608967. The reversal of 3751608960 is 698061573.

It is a happy number.

3751608960 is a `hidden beast` number, since 37 + 5 + 1 + 608 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3751608953) and next prime (3751608967).

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 (3751608967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 87246699 + ... + 87246741.

Almost surely, 2^3751608960 is an apocalyptic number.

3751608960 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 3751608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946722080).

3751608960 is an abundant number, since it is smaller than the sum of its proper divisors (12141835200).

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

3751608960 is a wasteful number, since it uses less digits than its factorization.

3751608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

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

The square root of 3751608960 is about 61250.3792641319. The cubic root of 3751608960 is about 1553.8384173313.

The spelling of 3751608960 in words is "three billion, seven hundred fifty-one million, six hundred eight thousand, nine hundred sixty".