4330634880 has 256 divisors, whose sum is σ = 16218195840. Its totient is φ = 969031680.

The previous prime is 4330634857. The next prime is 4330634899. The reversal of 4330634880 is 884360334.

It is a super-2 number, since 2×4330634880² = 37508796927745228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266674 + ... + 282446.

Almost surely, 2^4330634880 is an apocalyptic number.

4330634880 is a gapful number since it is divisible by the number (40) 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 4330634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109097920).

4330634880 is an abundant number, since it is smaller than the sum of its proper divisors (11887560960).

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

4330634880 is a wasteful number, since it uses less digits than its factorization.

4330634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15819 (or 15807 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 4330634880 is about 65807.5594441854. The cubic root of 4330634880 is about 1629.9859333600.

The spelling of 4330634880 in words is "four billion, three hundred thirty million, six hundred thirty-four thousand, eight hundred eighty".