38274453504 has 416 divisors, whose sum is σ = 132366560000. Its totient is φ = 10924720128.

The previous prime is 38274453457. The next prime is 38274453527. The reversal of 38274453504 is 40535447283.

38274453504 is a `hidden beast` number, since 3 + 82 + 74 + 453 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38274453504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37932552 + ... + 37933560.

Almost surely, 2^38274453504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38274453504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66183280000).

38274453504 is an abundant number, since it is smaller than the sum of its proper divisors (94092106496).

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

38274453504 is an equidigital number, since it uses as much as digits as its factorization.

38274453504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 38274453504 in words is "thirty-eight billion, two hundred seventy-four million, four hundred fifty-three thousand, five hundred four".