3413189664 has 120 divisors (see below), whose sum is σ = 10081265040. Its totient is φ = 1137519936.

The previous prime is 3413189651. The next prime is 3413189687. The reversal of 3413189664 is 4669813143.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 627147 + ... + 632565.

It is an arithmetic number, because the mean of its divisors is an integer number (84010542).

Almost surely, 2^3413189664 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 3413189664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040632520).

3413189664 is an abundant number, since it is smaller than the sum of its proper divisors (6668075376).

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

3413189664 is an frugal number, since it uses more digits than its factorization.

3413189664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456 (or 5424 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3413189664 is about 58422.5099084249. The cubic root of 3413189664 is about 1505.6365212228.

The spelling of 3413189664 in words is "three billion, four hundred thirteen million, one hundred eighty-nine thousand, six hundred sixty-four".