38877425664 has 416 divisors, whose sum is σ = 136897952256. Its totient is φ = 9500098560.

The previous prime is 38877425659. The next prime is 38877425683. The reversal of 38877425664 is 46652477883.

It is a happy number.

It is a super-2 number, since 2×38877425664² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38877425598 and 38877425607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16083784 + ... + 16086200.

It is an arithmetic number, because the mean of its divisors is an integer number (329081616).

Almost surely, 2^38877425664 is an apocalyptic number.

38877425664 is a gapful number since it is divisible by the number (34) 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 38877425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68448976128).

38877425664 is an abundant number, since it is smaller than the sum of its proper divisors (98020526592).

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

38877425664 is a wasteful number, since it uses less digits than its factorization.

38877425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2457 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 60.

The spelling of 38877425664 in words is "thirty-eight billion, eight hundred seventy-seven million, four hundred twenty-five thousand, six hundred sixty-four".