3525980981760 has 480 divisors, whose sum is σ = 12458770243920. Its totient is φ = 921408897024.

The previous prime is 3525980981737. The next prime is 3525980981773. The reversal of 3525980981760 is 671890895253.

3525980981760 is a `hidden beast` number, since 3 + 525 + 9 + 8 + 0 + 98 + 17 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 584454134016 + 2941526847744 = 764496^2 + 1715088^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231705672 + ... + 231720888.

Almost surely, 2^{3525980981760} is an apocalyptic number.

3525980981760 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 3525980981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229385121960).

3525980981760 is an abundant number, since it is smaller than the sum of its proper divisors (8932789262160).

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

3525980981760 is a wasteful number, since it uses less digits than its factorization.

3525980981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15448 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 3525980981760 in words is "three trillion, five hundred twenty-five billion, nine hundred eighty million, nine hundred eighty-one thousand, seven hundred sixty".