3339828864 has 96 divisors (see below), whose sum is σ = 9754374240. Its totient is φ = 1096634880.

The previous prime is 3339828859. The next prime is 3339828893. The reversal of 3339828864 is 4688289333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3339828864² = 22308913681615060992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3339828864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55549 + ... + 98819.

It is an arithmetic number, because the mean of its divisors is an integer number (101608065).

Almost surely, 2^3339828864 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 3339828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877187120).

3339828864 is an abundant number, since it is smaller than the sum of its proper divisors (6414545376).

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

3339828864 is a wasteful number, since it uses less digits than its factorization.

3339828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43358 (or 43343 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3339828864 is about 57791.2524868600. The cubic root of 3339828864 is about 1494.7712560023.

The spelling of 3339828864 in words is "three billion, three hundred thirty-nine million, eight hundred twenty-eight thousand, eight hundred sixty-four".