38124676800 has 504 divisors, whose sum is σ = 155365862496. Its totient is φ = 8685895680.

The previous prime is 38124676763. The next prime is 38124676819. The reversal of 38124676800 is 867642183.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×38124676800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61790092 + ... + 61790708.

Almost surely, 2^38124676800 is an apocalyptic number.

38124676800 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 38124676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77682931248).

38124676800 is an abundant number, since it is smaller than the sum of its proper divisors (117241185696).

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

38124676800 is a wasteful number, since it uses less digits than its factorization.

38124676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38124676800 in words is "thirty-eight billion, one hundred twenty-four million, six hundred seventy-six thousand, eight hundred".