38315904000 has 704 divisors, whose sum is σ = 142733740032. Its totient is φ = 9043968000.

The previous prime is 38315903939. The next prime is 38315904023. The reversal of 38315904000 is 40951383.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198527904 + ... + 198528096.

Almost surely, 2^38315904000 is an apocalyptic number.

38315904000 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 38315904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71366870016).

38315904000 is an abundant number, since it is smaller than the sum of its proper divisors (104417836032).

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

38315904000 is a wasteful number, since it uses less digits than its factorization.

38315904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 38315904000 in words is "thirty-eight billion, three hundred fifteen million, nine hundred four thousand".