390937534944 has 576 divisors, whose sum is σ = 1234957860864. Its totient is φ = 107065728000.

The previous prime is 390937534943. The next prime is 390937534969. The reversal of 390937534944 is 449435739093.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390937534943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3795509997 + ... + 3795510099.

It is an arithmetic number, because the mean of its divisors is an integer number (2144024064).

Almost surely, 2^390937534944 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 390937534944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617478930432).

390937534944 is an abundant number, since it is smaller than the sum of its proper divisors (844020325920).

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

390937534944 is a wasteful number, since it uses less digits than its factorization.

390937534944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 60.

The spelling of 390937534944 in words is "three hundred ninety billion, nine hundred thirty-seven million, five hundred thirty-four thousand, nine hundred forty-four".