3638912222400 has 672 divisors, whose sum is σ = 14714632869888. Its totient is φ = 766679040000.

The previous prime is 3638912222399. The next prime is 3638912222453. The reversal of 3638912222400 is 42222198363.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 328031254 + ... + 328042346.

It is an arithmetic number, because the mean of its divisors is an integer number (21896775104).

Almost surely, 2^{3638912222400} is an apocalyptic number.

3638912222400 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 3638912222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357316434944).

3638912222400 is an abundant number, since it is smaller than the sum of its proper divisors (11075720647488).

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

3638912222400 is a wasteful number, since it uses less digits than its factorization.

3638912222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11889 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 3638912222400 in words is "three trillion, six hundred thirty-eight billion, nine hundred twelve million, two hundred twenty-two thousand, four hundred".