3430145880 has 160 divisors (see below), whose sum is σ = 13176203040. Its totient is φ = 784028160.

The previous prime is 3430145843. The next prime is 3430145893. The reversal of 3430145880 is 885410343.

3430145880 is a `hidden beast` number, since 3 + 430 + 145 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52941 + ... + 98300.

It is an arithmetic number, because the mean of its divisors is an integer number (82351269).

Almost surely, 2^3430145880 is an apocalyptic number.

3430145880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3430145880 is an abundant number, since it is smaller than the sum of its proper divisors (9746057160).

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

3430145880 is a wasteful number, since it uses less digits than its factorization.

3430145880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151271 (or 151258 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3430145880 is about 58567.4472723543. The cubic root of 3430145880 is about 1508.1256629187.

The spelling of 3430145880 in words is "three billion, four hundred thirty million, one hundred forty-five thousand, eight hundred eighty".