39318130944 has 351 divisors, whose sum is σ = 125056226197. Its totient is φ = 12335099904.

The previous prime is 39318130939. The next prime is 39318130963. The reversal of 39318130944 is 44903181393.

The square root of 39318130944 is 198288.

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., 30611001600 + 8707129344 = 174960^2 + 93312^2 .

It is a super-2 number, since 2×39318130944² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 39318130944.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 2312831224 + ... + 2312831240.

Almost surely, 2^39318130944 is an apocalyptic number.

39318130944 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

39318130944 is the 198288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39318130944

39318130944 is an abundant number, since it is smaller than the sum of its proper divisors (85738095253).

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

39318130944 is an frugal number, since it uses more digits than its factorization.

39318130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 39318130944 in words is "thirty-nine billion, three hundred eighteen million, one hundred thirty thousand, nine hundred forty-four".