3645865192320 has 512 divisors, whose sum is σ = 14040799718400. Its totient is φ = 888725053440.

The previous prime is 3645865192313. The next prime is 3645865192337. The reversal of 3645865192320 is 232915685463.

It is a happy number.

3645865192320 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 86 + 519 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23059135 + ... + 23216705.

It is an arithmetic number, because the mean of its divisors is an integer number (27423436950).

Almost surely, 2^{3645865192320} is an apocalyptic number.

3645865192320 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 3645865192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020399859200).

3645865192320 is an abundant number, since it is smaller than the sum of its proper divisors (10394934526080).

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

3645865192320 is a wasteful number, since it uses less digits than its factorization.

3645865192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157715 (or 157697 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3645865192320 in words is "three trillion, six hundred forty-five billion, eight hundred sixty-five million, one hundred ninety-two thousand, three hundred twenty".