38958796800 has 1560 divisors, whose sum is σ = 182871872832. Its totient is φ = 7962624000.

The previous prime is 38958796783. The next prime is 38958796817. The reversal of 38958796800 is 869785983.

It is an interprime number because it is at equal distance from previous prime (38958796783) and next prime (38958796817).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 638668770 + ... + 638668830.

Almost surely, 2^38958796800 is an apocalyptic number.

38958796800 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 38958796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91435936416).

38958796800 is an abundant number, since it is smaller than the sum of its proper divisors (143913076032).

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

38958796800 is a wasteful number, since it uses less digits than its factorization.

38958796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 38958796800 in words is "thirty-eight billion, nine hundred fifty-eight million, seven hundred ninety-six thousand, eight hundred".