390093446304 has 216 divisors, whose sum is σ = 1239662298420. Its totient is φ = 115940560896.

The previous prime is 390093446257. The next prime is 390093446311. The reversal of 390093446304 is 403644390093.

390093446304 is a `hidden beast` number, since 3 + 9 + 0 + 0 + 9 + 3 + 4 + 4 + 630 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 377561091600 + 12532354704 = 614460^2 + 111948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 390093446304.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1657102 + ... + 1877810.

Almost surely, 2^390093446304 is an apocalyptic number.

390093446304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390093446304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619831149210).

390093446304 is an abundant number, since it is smaller than the sum of its proper divisors (849568852116).

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

390093446304 is a wasteful number, since it uses less digits than its factorization.

390093446304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220780 (or 220750 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 390093446304 in words is "three hundred ninety billion, ninety-three million, four hundred forty-six thousand, three hundred four".