38901496320 has 320 divisors, whose sum is σ = 139209840000. Its totient is φ = 10296557568.

The previous prime is 38901496307. The next prime is 38901496351. The reversal of 38901496320 is 2369410983.

It is a happy number.

38901496320 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 1 + 4 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9605656 + ... + 9609704.

It is an arithmetic number, because the mean of its divisors is an integer number (435030750).

Almost surely, 2^38901496320 is an apocalyptic number.

38901496320 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 38901496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69604920000).

38901496320 is an abundant number, since it is smaller than the sum of its proper divisors (100308343680).

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

38901496320 is a wasteful number, since it uses less digits than its factorization.

38901496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 38901496320 in words is "thirty-eight billion, nine hundred one million, four hundred ninety-six thousand, three hundred twenty".