390070368 has 72 divisors (see below), whose sum is σ = 1120778568. Its totient is φ = 128673792.

The previous prime is 390070367. The next prime is 390070451. The reversal of 390070368 is 863070093.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×390070368⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390070367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20955 + ... + 34917.

It is an arithmetic number, because the mean of its divisors is an integer number (15566369).

Almost surely, 2^390070368 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 390070368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560389284).

390070368 is an abundant number, since it is smaller than the sum of its proper divisors (730708200).

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

390070368 is a wasteful number, since it uses less digits than its factorization.

390070368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14076 (or 14065 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 390070368 is about 19750.1991888690. The cubic root of 390070368 is about 730.6582965339.

The spelling of 390070368 in words is "three hundred ninety million, seventy thousand, three hundred sixty-eight".