3389174784 has 220 divisors, whose sum is σ = 10477160100. Its totient is φ = 1089994752.

The previous prime is 3389174749. The next prime is 3389174807. The reversal of 3389174784 is 4874719833.

It can be written as a sum of positive squares in 2 ways, for example, as 671846400 + 2717328384 = 25920^2 + 52128^2 .

It is a super-2 number, since 2×3389174784² = 22973011433002893312, 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 3389174784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2404672 + ... + 2406080.

It is an arithmetic number, because the mean of its divisors is an integer number (47623455).

Almost surely, 2^3389174784 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 3389174784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238580050).

3389174784 is an abundant number, since it is smaller than the sum of its proper divisors (7087985316).

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

3389174784 is a wasteful number, since it uses less digits than its factorization.

3389174784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1443 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 3389174784 is about 58216.6194827560. The cubic root of 3389174784 is about 1502.0970349301.

The spelling of 3389174784 in words is "three billion, three hundred eighty-nine million, one hundred seventy-four thousand, seven hundred eighty-four".