390738816000 has 1320 divisors, whose sum is σ = 1583896938624. Its totient is φ = 95750553600.

The previous prime is 390738815983. The next prime is 390738816001. The reversal of 390738816000 is 618837093.

It is a happy number.

390738816000 is a `hidden beast` number, since 3 + 9 + 0 + 7 + 38 + 8 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (390738816001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1752191889 + ... + 1752192111.

Almost surely, 2^390738816000 is an apocalyptic number.

390738816000 is a gapful number since it is divisible by the number (30) 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 390738816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791948469312).

390738816000 is an abundant number, since it is smaller than the sum of its proper divisors (1193158122624).

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

390738816000 is a wasteful number, since it uses less digits than its factorization.

390738816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 390738816000 in words is "three hundred ninety billion, seven hundred thirty-eight million, eight hundred sixteen thousand".