38698675904000 has 2560 divisors, whose sum is σ = 126975873024000. Its totient is φ = 11705057280000.

The previous prime is 38698675903879. The next prime is 38698675904023. The reversal of 38698675904000 is 40957689683.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 530118847964 + ... + 530118848036.

It is an arithmetic number, because the mean of its divisors is an integer number (49599950400).

Almost surely, 2^{38698675904000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38698675904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63487936512000).

38698675904000 is an abundant number, since it is smaller than the sum of its proper divisors (88277197120000).

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

38698675904000 is an equidigital number, since it uses as much as digits as its factorization.

38698675904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 65.

The spelling of 38698675904000 in words is "thirty-eight trillion, six hundred ninety-eight billion, six hundred seventy-five million, nine hundred four thousand".