38622247502400 has 945 divisors, whose sum is σ = 144842931333243. Its totient is φ = 10094629017600.

The previous prime is 38622247502357. The next prime is 38622247502411. The reversal of 38622247502400 is 420574222683.

The square root of 38622247502400 is 6214680.

It is a perfect power (a square), and thus also a powerful number.

38622247502400 is a `hidden beast` number, since 3 + 8 + 62 + 2 + 2 + 47 + 502 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17790106780224 + 20832140722176 = 4217832^2 + 4564224^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 136474372659 + ... + 136474372941.

Almost surely, 2^{38622247502400} is an apocalyptic number.

38622247502400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38622247502400 is the 6214680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38622247502400

38622247502400 is an abundant number, since it is smaller than the sum of its proper divisors (106220683830843).

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

38622247502400 is an frugal number, since it uses more digits than its factorization.

38622247502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 38622247502400 in words is "thirty-eight trillion, six hundred twenty-two billion, two hundred forty-seven million, five hundred two thousand, four hundred".