3434045160 has 256 divisors, whose sum is σ = 12802406400. Its totient is φ = 717530112.

The previous prime is 3434045149. The next prime is 3434045183. The reversal of 3434045160 is 615404343.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 1166971 + ... + 1169909.

It is an arithmetic number, because the mean of its divisors is an integer number (50009400).

Almost surely, 2^3434045160 is an apocalyptic number.

3434045160 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 3434045160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401203200).

3434045160 is an abundant number, since it is smaller than the sum of its proper divisors (9368361240).

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

3434045160 is a wasteful number, since it uses less digits than its factorization.

3434045160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3434045160 is about 58600.7266166555. The cubic root of 3434045160 is about 1508.6969095024.

The spelling of 3434045160 in words is "three billion, four hundred thirty-four million, forty-five thousand, one hundred sixty".