390345696 has 192 divisors, whose sum is σ = 1280240640. Its totient is φ = 114808320.

The previous prime is 390345691. The next prime is 390345793. The reversal of 390345696 is 696543093.

It is a happy number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390345691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257581 + ... + 259091.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2^390345696 is an apocalyptic number.

390345696 is a gapful number since it is divisible by the number (36) 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 390345696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640120320).

390345696 is an abundant number, since it is smaller than the sum of its proper divisors (889894944).

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

390345696 is a wasteful number, since it uses less digits than its factorization.

390345696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 390345696 is about 19757.1682181430. The cubic root of 390345696 is about 730.8301658434.

The spelling of 390345696 in words is "three hundred ninety million, three hundred forty-five thousand, six hundred ninety-six".