38807864928 has 288 divisors, whose sum is σ = 134447040000. Its totient is φ = 10365235200.

The previous prime is 38807864897. The next prime is 38807864959. The reversal of 38807864928 is 82946870883.

It is an interprime number because it is at equal distance from previous prime (38807864897) and next prime (38807864959).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 5171323 + ... + 5178821.

It is an arithmetic number, because the mean of its divisors is an integer number (466830000).

Almost surely, 2^38807864928 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 38807864928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520000).

38807864928 is an abundant number, since it is smaller than the sum of its proper divisors (95639175072).

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

38807864928 is a wasteful number, since it uses less digits than its factorization.

38807864928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 38807864928 in words is "thirty-eight billion, eight hundred seven million, eight hundred sixty-four thousand, nine hundred twenty-eight".