38620501920 has 1440 divisors, whose sum is σ = 184810792320. Its totient is φ = 7375380480.

The previous prime is 38620501903. The next prime is 38620501921. The reversal of 38620501920 is 2910502683.

38620501920 is a `hidden beast` number, since 3 + 8 + 62 + 0 + 501 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38620501921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 168648366 + ... + 168648594.

It is an arithmetic number, because the mean of its divisors is an integer number (128340828).

Almost surely, 2^38620501920 is an apocalyptic number.

38620501920 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 38620501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92405396160).

38620501920 is an abundant number, since it is smaller than the sum of its proper divisors (146190290400).

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

38620501920 is a wasteful number, since it uses less digits than its factorization.

38620501920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 38620501920 in words is "thirty-eight billion, six hundred twenty million, five hundred one thousand, nine hundred twenty".