3395418264 has 160 divisors (see below), whose sum is σ = 10982405280. Its totient is φ = 959993856.

The previous prime is 3395418193. The next prime is 3395418283. The reversal of 3395418264 is 4628145933.

3395418264 is a `hidden beast` number, since 339 + 54 + 1 + 8 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 436134 + ... + 443850.

It is an arithmetic number, because the mean of its divisors is an integer number (68640033).

Almost surely, 2^3395418264 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 3395418264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491202640).

3395418264 is an abundant number, since it is smaller than the sum of its proper divisors (7586987016).

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

3395418264 is a wasteful number, since it uses less digits than its factorization.

3395418264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839 (or 7826 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 3395418264 is about 58270.2176416049. The cubic root of 3395418264 is about 1503.0188482941.

The spelling of 3395418264 in words is "three billion, three hundred ninety-five million, four hundred eighteen thousand, two hundred sixty-four".