3294768416 has 96 divisors (see below), whose sum is σ = 7171416000. Its totient is φ = 1483840512.

The previous prime is 3294768401. The next prime is 3294768431. The reversal of 3294768416 is 6148674923.

It is an interprime number because it is at equal distance from previous prime (3294768401) and next prime (3294768431).

It is a super-2 number, since 2×3294768416² = 21710997830142298112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179950 + ... + 1182738.

It is an arithmetic number, because the mean of its divisors is an integer number (74702250).

Almost surely, 2^3294768416 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 3294768416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585708000).

3294768416 is an abundant number, since it is smaller than the sum of its proper divisors (3876647584).

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

3294768416 is a wasteful number, since it uses less digits than its factorization.

3294768416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2906 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The square root of 3294768416 is about 57400.0733100577. The cubic root of 3294768416 is about 1488.0183882184.

The spelling of 3294768416 in words is "three billion, two hundred ninety-four million, seven hundred sixty-eight thousand, four hundred sixteen".