3414646464432 has 160 divisors (see below), whose sum is σ = 10475742842880. Its totient is φ = 937746754560.

The previous prime is 3414646464413. The next prime is 3414646464443. The reversal of 3414646464432 is 2344646464143.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 1387182 + ... + 2958642.

It is an arithmetic number, because the mean of its divisors is an integer number (65473392768).

Almost surely, 2^{3414646464432} 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 3414646464432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237871421440).

3414646464432 is an abundant number, since it is smaller than the sum of its proper divisors (7061096378448).

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

3414646464432 is a wasteful number, since it uses less digits than its factorization.

3414646464432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571731 (or 1571725 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 51.

The spelling of 3414646464432 in words is "three trillion, four hundred fourteen billion, six hundred forty-six million, four hundred sixty-four thousand, four hundred thirty-two".