3384732960 has 768 divisors, whose sum is σ = 14689382400. Its totient is φ = 710664192.

The previous prime is 3384732943. The next prime is 3384732971. The reversal of 3384732960 is 692374833.

It is a super-2 number, since 2×3384732960² = 22912834421020723200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 127 ways as a sum of consecutive naturals, for example, 24706012 + ... + 24706148.

It is an arithmetic number, because the mean of its divisors is an integer number (19126800).

Almost surely, 2^3384732960 is an apocalyptic number.

3384732960 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 3384732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344691200).

3384732960 is an abundant number, since it is smaller than the sum of its proper divisors (11304649440).

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

3384732960 is a wasteful number, since it uses less digits than its factorization.

3384732960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3384732960 is about 58178.4578688710. The cubic root of 3384732960 is about 1501.4405361276.

The spelling of 3384732960 in words is "three billion, three hundred eighty-four million, seven hundred thirty-two thousand, nine hundred sixty".