3752825295960 has 768 divisors, whose sum is σ = 14372591616000. Its totient is φ = 868159918080.

The previous prime is 3752825295929. The next prime is 3752825295977. The reversal of 3752825295960 is 695925282573.

3752825295960 is a `hidden beast` number, since 3 + 7 + 5 + 282 + 5 + 295 + 9 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 440416500 + ... + 440425020.

It is an arithmetic number, because the mean of its divisors is an integer number (18714312000).

Almost surely, 2^{3752825295960} is an apocalyptic number.

3752825295960 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 3752825295960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186295808000).

3752825295960 is an abundant number, since it is smaller than the sum of its proper divisors (10619766320040).

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

3752825295960 is a wasteful number, since it uses less digits than its factorization.

3752825295960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8713 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 3752825295960 in words is "three trillion, seven hundred fifty-two billion, eight hundred twenty-five million, two hundred ninety-five thousand, nine hundred sixty".