390344064000 has 1056 divisors, whose sum is σ = 1478675767296. Its totient is φ = 91238400000.

The previous prime is 390344063957. The next prime is 390344064001. The reversal of 390344064000 is 460443093.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390344064001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1440383865 + ... + 1440384135.

Almost surely, 2^390344064000 is an apocalyptic number.

390344064000 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 390344064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739337883648).

390344064000 is an abundant number, since it is smaller than the sum of its proper divisors (1088331703296).

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

390344064000 is a wasteful number, since it uses less digits than its factorization.

390344064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 390344064000 in words is "three hundred ninety billion, three hundred forty-four million, sixty-four thousand".