38321977600 has 81 divisors (see below), whose sum is σ = 94891661137. Its totient is φ = 15322526720.

The previous prime is 38321977571. The next prime is 38321977607. The reversal of 38321977600 is 677912383.

It is a happy number.

The square root of 38321977600 is 195760.

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., 13795911936 + 24526065664 = 117456^2 + 156608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38321977607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15659577 + ... + 15662023.

Almost surely, 2^38321977600 is an apocalyptic number.

38321977600 is the 195760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38321977600

38321977600 is an abundant number, since it is smaller than the sum of its proper divisors (56569683537).

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

38321977600 is an frugal number, since it uses more digits than its factorization.

38321977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 38321977600 in words is "thirty-eight billion, three hundred twenty-one million, nine hundred seventy-seven thousand, six hundred".