3430900480 has 288 divisors, whose sum is σ = 9842595840. Its totient is φ = 1121402880.

The previous prime is 3430900393. The next prime is 3430900481. The reversal of 3430900480 is 840090343.

It is not an unprimeable number, because it can be changed into a prime (3430900481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26190015 + ... + 26190145.

It is an arithmetic number, because the mean of its divisors is an integer number (34175680).

Almost surely, 2^3430900480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921297920).

3430900480 is an abundant number, since it is smaller than the sum of its proper divisors (6411695360).

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

3430900480 is a wasteful number, since it uses less digits than its factorization.

3430900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3430900480 is about 58573.8890633019. The cubic root of 3430900480 is about 1508.2362459885.

The spelling of 3430900480 in words is "three billion, four hundred thirty million, nine hundred thousand, four hundred eighty".