38279821462400 has 384 divisors, whose sum is σ = 112372910530560. Its totient is φ = 12608398540800.

The previous prime is 38279821462397. The next prime is 38279821462423. The reversal of 38279821462400 is 426412897283.

It is a super-2 number, since 2×38279821462400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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, 94931609 + ... + 95333991.

It is an arithmetic number, because the mean of its divisors is an integer number (292637787840).

Almost surely, 2^{38279821462400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38279821462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56186455265280).

38279821462400 is an abundant number, since it is smaller than the sum of its proper divisors (74093089068160).

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

38279821462400 is a wasteful number, since it uses less digits than its factorization.

38279821462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402582 (or 402565 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 38279821462400 in words is "thirty-eight trillion, two hundred seventy-nine billion, eight hundred twenty-one million, four hundred sixty-two thousand, four hundred".