390943516704 has 384 divisors, whose sum is σ = 1193988999168. Its totient is φ = 111105146880.

The previous prime is 390943516703. The next prime is 390943516721. The reversal of 390943516704 is 407615349093.

It is not an unprimeable number, because it can be changed into a prime (390943516703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75864592 + ... + 75869744.

It is an arithmetic number, because the mean of its divisors is an integer number (3109346352).

Almost surely, 2^390943516704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390943516704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596994499584).

390943516704 is an abundant number, since it is smaller than the sum of its proper divisors (803045482464).

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

390943516704 is a wasteful number, since it uses less digits than its factorization.

390943516704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 390943516704 in words is "three hundred ninety billion, nine hundred forty-three million, five hundred sixteen thousand, seven hundred four".