38408307936 has 96 divisors (see below), whose sum is σ = 105271488000. Its totient is φ = 12238431744.

The previous prime is 38408307907. The next prime is 38408307941. The reversal of 38408307936 is 63970380483.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4263565 + ... + 4272563.

It is an arithmetic number, because the mean of its divisors is an integer number (1096578000).

Almost surely, 2^38408307936 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 38408307936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52635744000).

38408307936 is an abundant number, since it is smaller than the sum of its proper divisors (66863180064).

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

38408307936 is a wasteful number, since it uses less digits than its factorization.

38408307936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10968 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 38408307936 in words is "thirty-eight billion, four hundred eight million, three hundred seven thousand, nine hundred thirty-six".