390578938848 has 864 divisors, whose sum is σ = 1417131555840. Its totient is φ = 105345515520.

The previous prime is 390578938831. The next prime is 390578938901. The reversal of 390578938848 is 848839875093.

390578938848 is a `hidden beast` number, since 3 + 9 + 0 + 578 + 9 + 3 + 8 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 507904608 + ... + 507905376.

It is an arithmetic number, because the mean of its divisors is an integer number (1640198560).

Almost surely, 2^390578938848 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 390578938848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708565777920).

390578938848 is an abundant number, since it is smaller than the sum of its proper divisors (1026552616992).

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

390578938848 is a wasteful number, since it uses less digits than its factorization.

390578938848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 390578938848 in words is "three hundred ninety billion, five hundred seventy-eight million, nine hundred thirty-eight thousand, eight hundred forty-eight".