38777425920 has 416 divisors, whose sum is σ = 143899488000. Its totient is φ = 9887809536.

The previous prime is 38777425919. The next prime is 38777425933. The reversal of 38777425920 is 2952477783.

38777425920 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 7 + 42 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12716556 + ... + 12719604.

Almost surely, 2^38777425920 is an apocalyptic number.

38777425920 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 38777425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71949744000).

38777425920 is an abundant number, since it is smaller than the sum of its proper divisors (105122062080).

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

38777425920 is a wasteful number, since it uses less digits than its factorization.

38777425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 38777425920 in words is "thirty-eight billion, seven hundred seventy-seven million, four hundred twenty-five thousand, nine hundred twenty".