3525957351072 has 576 divisors, whose sum is σ = 11818675814400. Its totient is φ = 987412654080.

The previous prime is 3525957351067. The next prime is 3525957351079. The reversal of 3525957351072 is 2701537595253.

3525957351072 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 9 + 57 + 3 + 510 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (3525957351079) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306519273 + ... + 306530775.

It is an arithmetic number, because the mean of its divisors is an integer number (20518534400).

Almost surely, 2^{3525957351072} is an apocalyptic number.

3525957351072 is a gapful number since it is divisible by the number (32) 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 3525957351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909337907200).

3525957351072 is an abundant number, since it is smaller than the sum of its proper divisors (8292718463328).

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

3525957351072 is a wasteful number, since it uses less digits than its factorization.

3525957351072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11721 (or 11710 counting only the distinct ones).

The product of its (nonzero) digits is 9922500, while the sum is 54.

The spelling of 3525957351072 in words is "three trillion, five hundred twenty-five billion, nine hundred fifty-seven million, three hundred fifty-one thousand, seventy-two".