3645857972960 has 192 divisors, whose sum is σ = 10078353331200. Its totient is φ = 1220258414592.

The previous prime is 3645857972921. The next prime is 3645857972971. The reversal of 3645857972960 is 692797585463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90472496 + ... + 90512784.

It is an arithmetic number, because the mean of its divisors is an integer number (52491423600).

Almost surely, 2^{3645857972960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645857972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039176665600).

3645857972960 is an abundant number, since it is smaller than the sum of its proper divisors (6432495358240).

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

3645857972960 is a wasteful number, since it uses less digits than its factorization.

3645857972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42233 (or 42225 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 71.

The spelling of 3645857972960 in words is "three trillion, six hundred forty-five billion, eight hundred fifty-seven million, nine hundred seventy-two thousand, nine hundred sixty".