3638021428800 has 1764 divisors, whose sum is σ = 14937493353300. Its totient is φ = 870961766400.

The previous prime is 3638021428781. The next prime is 3638021428837. The reversal of 3638021428800 is 88241208363.

3638021428800 is a `hidden beast` number, since 3 + 638 + 0 + 2 + 1 + 4 + 2 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 52027785216 + 3585993643584 = 228096^2 + 1893672^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 21029025514 + ... + 21029025686.

Almost surely, 2^{3638021428800} is an apocalyptic number.

3638021428800 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 3638021428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468746676650).

3638021428800 is an abundant number, since it is smaller than the sum of its proper divisors (11299471924500).

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

3638021428800 is a wasteful number, since it uses less digits than its factorization.

3638021428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3638021428800 in words is "three trillion, six hundred thirty-eight billion, twenty-one million, four hundred twenty-eight thousand, eight hundred".