38406576868416 has 567 divisors, whose sum is σ = 117283984657749. Its totient is φ = 12015432152064.

The previous prime is 38406576868409. The next prime is 38406576868423. The reversal of 38406576868416 is 61486867560483.

The square root of 38406576868416 is 6197304.

It is a perfect power (a square), and thus also a powerful number.

38406576868416 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 6 + 576 + 8 + 6 + 8 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (38406576868409) and next prime (38406576868423).

It can be written as a sum of positive squares in only one way, i.e., 26769199818816 + 11637377049600 = 5173896^2 + 3411360^2 .

It is a super-2 number, since 2×38406576868416² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 352353916170 + ... + 352353916278.

Almost surely, 2^{38406576868416} is an apocalyptic number.

38406576868416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38406576868416 is the 6197304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38406576868416

38406576868416 is an abundant number, since it is smaller than the sum of its proper divisors (78877407789333).

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

38406576868416 is a wasteful number, since it uses less digits than its factorization.

38406576868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 38406576868416 in words is "thirty-eight trillion, four hundred six billion, five hundred seventy-six million, eight hundred sixty-eight thousand, four hundred sixteen".