38604960000 has 1080 divisors, whose sum is σ = 156890653920. Its totient is φ = 9068544000.

The previous prime is 38604959903. The next prime is 38604960007. The reversal of 38604960000 is 6940683.

38604960000 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 49 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38604960007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 465119959 + ... + 465120041.

It is an arithmetic number, because the mean of its divisors is an integer number (145269124).

Almost surely, 2^38604960000 is an apocalyptic number.

38604960000 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 38604960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78445326960).

38604960000 is an abundant number, since it is smaller than the sum of its proper divisors (118285693920).

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

38604960000 is a wasteful number, since it uses less digits than its factorization.

38604960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 38604960000 in words is "thirty-eight billion, six hundred four million, nine hundred sixty thousand".