3425664921600 has 312 divisors, whose sum is σ = 11539905028272. Its totient is φ = 896270336000.

The previous prime is 3425664921593. The next prime is 3425664921617. The reversal of 3425664921600 is 61294665243.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3425664921600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16176400 + ... + 16386800.

Almost surely, 2^{3425664921600} is an apocalyptic number.

3425664921600 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 3425664921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769952514136).

3425664921600 is an abundant number, since it is smaller than the sum of its proper divisors (8114240106672).

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

3425664921600 is a wasteful number, since it uses less digits than its factorization.

3425664921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210491 (or 210464 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 3425664921600 in words is "three trillion, four hundred twenty-five billion, six hundred sixty-four million, nine hundred twenty-one thousand, six hundred".