3378651264 has 320 divisors, whose sum is σ = 11030045400. Its totient is φ = 1021870080.

The previous prime is 3378651257. The next prime is 3378651317. The reversal of 3378651264 is 4621568733.

3378651264 is a `hidden beast` number, since 3 + 3 + 78 + 6 + 512 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3359361600 + 19289664 = 57960^2 + 4392^2 .

It is a super-2 number, since 2×3378651264² = 22830568727457595392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5111094 + ... + 5111754.

Almost surely, 2^3378651264 is an apocalyptic number.

3378651264 is a gapful number since it is divisible by the number (34) 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 3378651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515022700).

3378651264 is an abundant number, since it is smaller than the sum of its proper divisors (7651394136).

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

3378651264 is a wasteful number, since it uses less digits than its factorization.

3378651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 712 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3378651264 is about 58126.1667753861. The cubic root of 3378651264 is about 1500.5407330484.

The spelling of 3378651264 in words is "three billion, three hundred seventy-eight million, six hundred fifty-one thousand, two hundred sixty-four".