3029114880 has 560 divisors, whose sum is σ = 11989210464. Its totient is φ = 725483520.

The previous prime is 3029114863. The next prime is 3029114909. The reversal of 3029114880 is 884119203.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36495319 + ... + 36495401.

Almost surely, 2^3029114880 is an apocalyptic number.

3029114880 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 3029114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994605232).

3029114880 is an abundant number, since it is smaller than the sum of its proper divisors (8960095584).

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

3029114880 is an equidigital number, since it uses as much as digits as its factorization.

3029114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3029114880 is about 55037.3952872045. The cubic root of 3029114880 is about 1446.9002159507.

The spelling of 3029114880 in words is "three billion, twenty-nine million, one hundred fourteen thousand, eight hundred eighty".