38226982886400 has 792 divisors, whose sum is σ = 158711094478720. Its totient is φ = 7943255654400.

The previous prime is 38226982886371. The next prime is 38226982886429. The reversal of 38226982886400 is 468828962283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38226982886371) and next prime (38226982886429).

It is a super-2 number, since 2×38226982886400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64755771 + ... + 65343429.

Almost surely, 2^{38226982886400} is an apocalyptic number.

38226982886400 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 38226982886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79355547239360).

38226982886400 is an abundant number, since it is smaller than the sum of its proper divisors (120484111592320).

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

38226982886400 is a wasteful number, since it uses less digits than its factorization.

38226982886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587721 (or 587687 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 66.

The spelling of 38226982886400 in words is "thirty-eight trillion, two hundred twenty-six billion, nine hundred eighty-two million, eight hundred eighty-six thousand, four hundred".