3379509864 has 128 divisors (see below), whose sum is σ = 9546768000. Its totient is φ = 1121376960.

The previous prime is 3379509851. The next prime is 3379509893. The reversal of 3379509864 is 4689059733.

3379509864 is a `hidden beast` number, since 3 + 3 + 79 + 509 + 8 + 64 = 666.

It is a super-2 number, since 2×3379509864² = 22842173841746596992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3379509864.

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 31 ways as a sum of consecutive naturals, for example, 7330594 + ... + 7331054.

It is an arithmetic number, because the mean of its divisors is an integer number (74584125).

Almost surely, 2^3379509864 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 3379509864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773384000).

3379509864 is an abundant number, since it is smaller than the sum of its proper divisors (6167258136).

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

3379509864 is an equidigital number, since it uses as much as digits as its factorization.

3379509864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3379509864 is about 58133.5519644207. The cubic root of 3379509864 is about 1500.6678306240.

The spelling of 3379509864 in words is "three billion, three hundred seventy-nine million, five hundred nine thousand, eight hundred sixty-four".