3525313428000 has 5760 divisors, whose sum is σ = 18220262860800. Its totient is φ = 658409472000.

The previous prime is 3525313427963. The next prime is 3525313428017. The reversal of 3525313428000 is 8243135253.

3525313428000 is a `hidden beast` number, since 3 + 5 + 2 + 531 + 3 + 42 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×3525313428000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 113719787985 + ... + 113719788015.

It is an arithmetic number, because the mean of its divisors is an integer number (3163240080).

Almost surely, 2^{3525313428000} is an apocalyptic number.

3525313428000 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 3525313428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110131430400).

3525313428000 is an abundant number, since it is smaller than the sum of its proper divisors (14694949432800).

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

3525313428000 is a wasteful number, since it uses less digits than its factorization.

3525313428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 3525313428000 in words is "three trillion, five hundred twenty-five billion, three hundred thirteen million, four hundred twenty-eight thousand".