38000913350400 has 4320 divisors, whose sum is σ = 191643223715328. Its totient is φ = 7173527961600.

The previous prime is 38000913350381. The next prime is 38000913350423. The reversal of 38000913350400 is 405331900083.

38000913350400 is a `hidden beast` number, since 38 + 0 + 0 + 0 + 91 + 33 + 504 + 0 + 0 = 666.

38000913350400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

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 (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 34767532254 + ... + 34767533346.

Almost surely, 2^{38000913350400} is an apocalyptic number.

38000913350400 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 38000913350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95821611857664).

38000913350400 is an abundant number, since it is smaller than the sum of its proper divisors (153642310364928).

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

38000913350400 is a wasteful number, since it uses less digits than its factorization.

38000913350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 38000913350400 in words is "thirty-eight trillion, nine hundred thirteen million, three hundred fifty thousand, four hundred".