3645057024000 has 2400 divisors, whose sum is σ = 16110945666816. Its totient is φ = 802632499200.

The previous prime is 3645057023987. The next prime is 3645057024017. The reversal of 3645057024000 is 4207505463.

3645057024000 is a `hidden beast` number, since 3 + 6 + 45 + 0 + 570 + 2 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49932287964 + ... + 49932288036.

Almost surely, 2^{3645057024000} is an apocalyptic number.

3645057024000 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 3645057024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055472833408).

3645057024000 is an abundant number, since it is smaller than the sum of its proper divisors (12465888642816).

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

3645057024000 is an frugal number, since it uses more digits than its factorization.

3645057024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 3645057024000 in words is "three trillion, six hundred forty-five billion, fifty-seven million, twenty-four thousand".