38034750625 has 45 divisors (see below), whose sum is σ = 49407310381. Its totient is φ = 29269352000.

The previous prime is 38034750619. The next prime is 38034750643. The reversal of 38034750625 is 52605743083.

38034750625 = 137903² + 137904².

The square root of 38034750625 is 195025.

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

It can be written as a sum of positive squares in 22 ways, for example, as 19017237409 + 19017513216 = 137903^2 + 137904^2 .

It is not a de Polignac number, because 38034750625 - 2¹⁵ = 38034717857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 141392991 + ... + 141393259.

Almost surely, 2^38034750625 is an apocalyptic number.

38034750625 is the 195025-th square number.

38034750625 is the 137904-th centered square number and also the 97513-rd centered octagonal number.

It is an amenable number.

38034750625 is a deficient number, since it is larger than the sum of its proper divisors (11372559756).

38034750625 is an frugal number, since it uses more digits than its factorization.

38034750625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 38034750625 in words is "thirty-eight billion, thirty-four million, seven hundred fifty thousand, six hundred twenty-five".