38268156326400 has 6720 divisors, whose sum is σ = 202929240197376. Its totient is φ = 6879707136000.

The previous prime is 38268156326357. The next prime is 38268156326431. The reversal of 38268156326400 is 462365186283.

38268156326400 is a `hidden beast` number, since 3 + 8 + 2 + 68 + 156 + 3 + 26 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a super-3 number, since 3×38268156326400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 158789030280 + ... + 158789030520.

Almost surely, 2^{38268156326400} is an apocalyptic number.

38268156326400 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 38268156326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101464620098688).

38268156326400 is an abundant number, since it is smaller than the sum of its proper divisors (164661083870976).

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

38268156326400 is a wasteful number, since it uses less digits than its factorization.

38268156326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 38268156326400 in words is "thirty-eight trillion, two hundred sixty-eight billion, one hundred fifty-six million, three hundred twenty-six thousand, four hundred".