3645607706400 has 288 divisors, whose sum is σ = 12948671606976. Its totient is φ = 883548160000.

The previous prime is 3645607706399. The next prime is 3645607706437. The reversal of 3645607706400 is 46077065463.

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 3645607706400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111946120 + ... + 111978680.

It is an arithmetic number, because the mean of its divisors is an integer number (44960665302).

Almost surely, 2^{3645607706400} is an apocalyptic number.

3645607706400 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 3645607706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474335803488).

3645607706400 is an abundant number, since it is smaller than the sum of its proper divisors (9303063900576).

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

3645607706400 is a wasteful number, since it uses less digits than its factorization.

3645607706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36836 (or 36823 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 3645607706400 in words is "three trillion, six hundred forty-five billion, six hundred seven million, seven hundred six thousand, four hundred".