3645625064400 has 1080 divisors, whose sum is σ = 14714124673248. Its totient is φ = 828794880000.

The previous prime is 3645625064351. The next prime is 3645625064443. The reversal of 3645625064400 is 44605265463.

It is a happy number.

3645625064400 is a `hidden beast` number, since 3 + 6 + 45 + 62 + 506 + 4 + 40 + 0 = 666.

3645625064400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3645625064400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5275868055 + ... + 5275868745.

Almost surely, 2^{3645625064400} is an apocalyptic number.

3645625064400 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 3645625064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357062336624).

3645625064400 is an abundant number, since it is smaller than the sum of its proper divisors (11068499608848).

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

3645625064400 is a wasteful number, since it uses less digits than its factorization.

3645625064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 3645625064400 in words is "three trillion, six hundred forty-five billion, six hundred twenty-five million, sixty-four thousand, four hundred".