38762521924 has 81 divisors (see below), whose sum is σ = 81117473661. Its totient is φ = 16207326240.

The previous prime is 38762521921. The next prime is 38762521991. The reversal of 38762521924 is 42912526783.

It is a happy number.

The square root of 38762521924 is 196882.

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., 1867795524 + 36894726400 = 43218^2 + 192080^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38762521921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 945427344 + ... + 945427384.

Almost surely, 2^38762521924 is an apocalyptic number.

38762521924 is the 196882-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38762521924

38762521924 is an abundant number, since it is smaller than the sum of its proper divisors (42354951737).

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

38762521924 is an frugal number, since it uses more digits than its factorization.

38762521924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 50 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

Multiplying 38762521924 by its sum of digits (49), we get a square (1899363574276 = 1378174²).

38762521924 divided by its sum of digits (49) gives a square (791071876 = 28126²).

The spelling of 38762521924 in words is "thirty-eight billion, seven hundred sixty-two million, five hundred twenty-one thousand, nine hundred twenty-four".