38408713457400 has 576 divisors, whose sum is σ = 159515634096000. Its totient is φ = 8142589670400.

The previous prime is 38408713457377. The next prime is 38408713457431. The reversal of 38408713457400 is 475431780483.

38408713457400 is a `hidden beast` number, since 3 + 84 + 0 + 8 + 71 + 3 + 457 + 40 + 0 = 666.

It is a super-2 number, since 2×38408713457400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 963811 + ... + 8817389.

It is an arithmetic number, because the mean of its divisors is an integer number (276936864750).

Almost surely, 2^{38408713457400} is an apocalyptic number.

38408713457400 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 38408713457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79757817048000).

38408713457400 is an abundant number, since it is smaller than the sum of its proper divisors (121106920638600).

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

38408713457400 is a wasteful number, since it uses less digits than its factorization.

38408713457400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853644 (or 7853632 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 38408713457400 in words is "thirty-eight trillion, four hundred eight billion, seven hundred thirteen million, four hundred fifty-seven thousand, four hundred".