3029906880 has 672 divisors, whose sum is σ = 14005974528. Its totient is φ = 580608000.

The previous prime is 3029906851. The next prime is 3029906911. The reversal of 3029906880 is 886099203.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882355 + ... + 2883405.

It is an arithmetic number, because the mean of its divisors is an integer number (20842224).

Almost surely, 2^3029906880 is an apocalyptic number.

3029906880 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 3029906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002987264).

3029906880 is an abundant number, since it is smaller than the sum of its proper divisors (10976067648).

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

3029906880 is a wasteful number, since it uses less digits than its factorization.

3029906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3029906880 is about 55044.5899248963. The cubic root of 3029906880 is about 1447.0263083525.

It can be divided in two parts, 3029 and 906880, that added together give a palindrome (909909).

The spelling of 3029906880 in words is "three billion, twenty-nine million, nine hundred six thousand, eight hundred eighty".