390359787696 has 480 divisors, whose sum is σ = 1222577940480. Its totient is φ = 115781529600.

The previous prime is 390359787673. The next prime is 390359787731. The reversal of 390359787696 is 696787953093.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414834586 + ... + 414835526.

It is an arithmetic number, because the mean of its divisors is an integer number (2547037376).

Almost surely, 2^390359787696 is an apocalyptic number.

390359787696 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 390359787696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611288970240).

390359787696 is an abundant number, since it is smaller than the sum of its proper divisors (832218152784).

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

390359787696 is a wasteful number, since it uses less digits than its factorization.

390359787696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 390359787696 in words is "three hundred ninety billion, three hundred fifty-nine million, seven hundred eighty-seven thousand, six hundred ninety-six".