390105745920 has 1120 divisors, whose sum is σ = 1581782045184. Its totient is φ = 91371110400.

The previous prime is 390105745879. The next prime is 390105745921. The reversal of 390105745920 is 29547501093.

It is a happy number.

390105745920 is a `hidden beast` number, since 3 + 9 + 0 + 1 + 0 + 57 + 4 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (390105745921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 636387534 + ... + 636388146.

Almost surely, 2^390105745920 is an apocalyptic number.

390105745920 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 390105745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790891022592).

390105745920 is an abundant number, since it is smaller than the sum of its proper divisors (1191676299264).

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

390105745920 is an equidigital number, since it uses as much as digits as its factorization.

390105745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 390105745920 in words is "three hundred ninety billion, one hundred five million, seven hundred forty-five thousand, nine hundred twenty".