3034400832 has 112 divisors (see below), whose sum is σ = 8934175680. Its totient is φ = 1009926144.

The previous prime is 3034400813. The next prime is 3034400843. The reversal of 3034400832 is 2380044303.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3034400796 and 3034400805.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1991623 + ... + 1993145.

Almost surely, 2^3034400832 is an apocalyptic number.

3034400832 is a gapful number since it is divisible by the number (32) 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 3034400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467087840).

3034400832 is an abundant number, since it is smaller than the sum of its proper divisors (5899774848).

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

3034400832 is a wasteful number, since it uses less digits than its factorization.

3034400832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3034400832 is about 55085.3958141357. The cubic root of 3034400832 is about 1447.7413638160.

The spelling of 3034400832 in words is "three billion, thirty-four million, four hundred thousand, eight hundred thirty-two".