38738474752576 has 63 divisors (see below), whose sum is σ = 77650382626153. Its totient is φ = 19174973139200.

The previous prime is 38738474752547. The next prime is 38738474752633. The reversal of 38738474752576 is 67525747483783.

It is a happy number.

The square root of 38738474752576 is 6224024.

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., 37219467802176 + 1519006950400 = 6100776^2 + 1232480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5029007541 + ... + 5029015243.

Almost surely, 2^{38738474752576} is an apocalyptic number.

38738474752576 is the 6224024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38738474752576

38738474752576 is an abundant number, since it is smaller than the sum of its proper divisors (38911907873577).

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

38738474752576 is an frugal number, since it uses more digits than its factorization.

38738474752576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15620 (or 7806 counting only the distinct ones).

The product of its digits is 6638284800, while the sum is 76.

The spelling of 38738474752576 in words is "thirty-eight trillion, seven hundred thirty-eight billion, four hundred seventy-four million, seven hundred fifty-two thousand, five hundred seventy-six".