38976628320 has 288 divisors, whose sum is σ = 154503236160. Its totient is φ = 8762757120.

The previous prime is 38976628267. The next prime is 38976628337. The reversal of 38976628320 is 2382667983.

It is a happy number.

38976628320 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 6 + 628 + 3 + 2 + 0 = 666.

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

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, 583186 + ... + 646574.

It is an arithmetic number, because the mean of its divisors is an integer number (536469570).

Almost surely, 2^38976628320 is an apocalyptic number.

38976628320 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 38976628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77251618080).

38976628320 is an abundant number, since it is smaller than the sum of its proper divisors (115526607840).

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

38976628320 is a wasteful number, since it uses less digits than its factorization.

38976628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63478 (or 63467 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38976628320 in words is "thirty-eight billion, nine hundred seventy-six million, six hundred twenty-eight thousand, three hundred twenty".