3034984320 has 384 divisors, whose sum is σ = 11303884800. Its totient is φ = 748154880.

The previous prime is 3034984319. The next prime is 3034984327. The reversal of 3034984320 is 234894303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3034984320² = 18422259645291724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034984327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4106511 + ... + 4107249.

It is an arithmetic number, because the mean of its divisors is an integer number (29437200).

Almost surely, 2^3034984320 is an apocalyptic number.

3034984320 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 3034984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651942400).

3034984320 is an abundant number, since it is smaller than the sum of its proper divisors (8268900480).

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

3034984320 is a wasteful number, since it uses less digits than its factorization.

3034984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3034984320 is about 55090.6917727487. The cubic root of 3034984320 is about 1447.8341537516.

The spelling of 3034984320 in words is "three billion, thirty-four million, nine hundred eighty-four thousand, three hundred twenty".