38900976374400 has 384 divisors, whose sum is σ = 146760637968000. Its totient is φ = 8871841628160.

The previous prime is 38900976374389. The next prime is 38900976374411. The reversal of 38900976374400 is 447367900983.

It is an interprime number because it is at equal distance from previous prime (38900976374389) and next prime (38900976374411).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29528164 + ... + 30817436.

It is an arithmetic number, because the mean of its divisors is an integer number (382189161375).

Almost surely, 2^{38900976374400} is an apocalyptic number.

38900976374400 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 38900976374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73380318984000).

38900976374400 is an abundant number, since it is smaller than the sum of its proper divisors (107859661593600).

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

38900976374400 is a wasteful number, since it uses less digits than its factorization.

38900976374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289756 (or 1289739 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 38900976374400 in words is "thirty-eight trillion, nine hundred billion, nine hundred seventy-six million, three hundred seventy-four thousand, four hundred".