390739008000 has 800 divisors, whose sum is σ = 1439292254400. Its totient is φ = 94043136000.

The previous prime is 390739007947. The next prime is 390739008001. The reversal of 390739008000 is 800937093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a self number, because there is not a number n which added to its sum of digits gives 390739008000.

It is not an unprimeable number, because it can be changed into a prime (390739008001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2811071931 + ... + 2811072069.

It is an arithmetic number, because the mean of its divisors is an integer number (1799115318).

Almost surely, 2^390739008000 is an apocalyptic number.

390739008000 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 390739008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719646127200).

390739008000 is an abundant number, since it is smaller than the sum of its proper divisors (1048553246400).

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

390739008000 is an frugal number, since it uses more digits than its factorization.

390739008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 390739008000 in words is "three hundred ninety billion, seven hundred thirty-nine million, eight thousand".