38245201920 has 768 divisors, whose sum is σ = 147184128000. Its totient is φ = 9385279488.

The previous prime is 38245201913. The next prime is 38245201931. The reversal of 38245201920 is 2910254283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371312589 + ... + 371312691.

It is an arithmetic number, because the mean of its divisors is an integer number (191646000).

Almost surely, 2^38245201920 is an apocalyptic number.

38245201920 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 38245201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73592064000).

38245201920 is an abundant number, since it is smaller than the sum of its proper divisors (108938926080).

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

38245201920 is a wasteful number, since it uses less digits than its factorization.

38245201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 38245201920 in words is "thirty-eight billion, two hundred forty-five million, two hundred one thousand, nine hundred twenty".