390306006970880 has 5120 divisors, whose sum is σ = 1459720971878400. Its totient is φ = 95994846904320.

The previous prime is 390306006970871. The next prime is 390306006970921. The reversal of 390306006970880 is 88079600603093.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3073275645377 + ... + 3073275645503.

It is an arithmetic number, because the mean of its divisors is an integer number (285101752320).

Almost surely, 2^{390306006970880} 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 390306006970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729860485939200).

390306006970880 is an abundant number, since it is smaller than the sum of its proper divisors (1069414964907520).

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

390306006970880 is a wasteful number, since it uses less digits than its factorization.

390306006970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 59.

The spelling of 390306006970880 in words is "three hundred ninety trillion, three hundred six billion, six million, nine hundred seventy thousand, eight hundred eighty".