390622038048 has 288 divisors, whose sum is σ = 1304144779392. Its totient is φ = 109580083200.

The previous prime is 390622037999. The next prime is 390622038061. The reversal of 390622038048 is 840830226093.

390622038048 is a `hidden beast` number, since 3 + 9 + 0 + 6 + 220 + 380 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 390622037994 and 390622038012.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3225765 + ... + 3344667.

It is an arithmetic number, because the mean of its divisors is an integer number (4528280484).

Almost surely, 2^390622038048 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 390622038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652072389696).

390622038048 is an abundant number, since it is smaller than the sum of its proper divisors (913522741344).

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

390622038048 is a wasteful number, since it uses less digits than its factorization.

390622038048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119008 (or 118997 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 390622038048 in words is "three hundred ninety billion, six hundred twenty-two million, thirty-eight thousand, forty-eight".