3384379584 has 294 divisors, whose sum is σ = 10738974204. Its totient is φ = 1057536000.

The previous prime is 3384379573. The next prime is 3384379589. The reversal of 3384379584 is 4859734833.

It is a super-2 number, since 2×3384379584² = 22908050337192026112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (8709120) is a multiple of the sum of its prime factors (315).

It is a self number, because there is not a number n which added to its sum of digits gives 3384379584.

It is not an unprimeable number, because it can be changed into a prime (3384379589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 13483459 + ... + 13483709.

Almost surely, 2^3384379584 is an apocalyptic number.

3384379584 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 3384379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369487102).

3384379584 is an abundant number, since it is smaller than the sum of its proper divisors (7354594620).

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

3384379584 is an equidigital number, since it uses as much as digits as its factorization.

3384379584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 273 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3384379584 is about 58175.4207891958. The cubic root of 3384379584 is about 1501.3882827177.

The spelling of 3384379584 in words is "three billion, three hundred eighty-four million, three hundred seventy-nine thousand, five hundred eighty-four".