38172290400 has 432 divisors, whose sum is σ = 141071033376. Its totient is φ = 9694248960.

The previous prime is 38172290389. The next prime is 38172290411. The reversal of 38172290400 is 409227183.

It is an interprime number because it is at equal distance from previous prime (38172290389) and next prime (38172290411).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58456474 + ... + 58457126.

It is an arithmetic number, because the mean of its divisors is an integer number (326553318).

Almost surely, 2^38172290400 is an apocalyptic number.

38172290400 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 38172290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70535516688).

38172290400 is an abundant number, since it is smaller than the sum of its proper divisors (102898742976).

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

38172290400 is a wasteful number, since it uses less digits than its factorization.

38172290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 38172290400 in words is "thirty-eight billion, one hundred seventy-two million, two hundred ninety thousand, four hundred".