3430041510564 has 72 divisors (see below), whose sum is σ = 9126977481440. Its totient is φ = 1083140284032.

The previous prime is 3430041510487. The next prime is 3430041510569. The reversal of 3430041510564 is 4650151400343.

3430041510564 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 0 + 41 + 51 + 0 + 564 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3430041510569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44170179 + ... + 44247765.

Almost surely, 2^{3430041510564} is an apocalyptic number.

It is an amenable number.

3430041510564 is an abundant number, since it is smaller than the sum of its proper divisors (5696935970876).

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

3430041510564 is a wasteful number, since it uses less digits than its factorization.

3430041510564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142249 (or 142244 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 3430041510564 in words is "three trillion, four hundred thirty billion, forty-one million, five hundred ten thousand, five hundred sixty-four".