38757009424 has 135 divisors (see below), whose sum is σ = 89476517277. Its totient is φ = 16215623424.

The previous prime is 38757009413. The next prime is 38757009461. The reversal of 38757009424 is 42490075783.

It is a happy number.

The square root of 38757009424 is 196868.

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

It can be written as a sum of positive squares in only one way, i.e., 7442167824 + 31314841600 = 86268^2 + 176960^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 435471972 + ... + 435472060.

Almost surely, 2^38757009424 is an apocalyptic number.

38757009424 is the 196868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38757009424

38757009424 is an abundant number, since it is smaller than the sum of its proper divisors (50719507853).

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

38757009424 is an frugal number, since it uses more digits than its factorization.

38757009424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

Multiplying 38757009424 by its sum of digits (49), we get a square (1899093461776 = 1378076²).

38757009424 divided by its sum of digits (49) gives a square (790959376 = 28124²).

The spelling of 38757009424 in words is "thirty-eight billion, seven hundred fifty-seven million, nine thousand, four hundred twenty-four".