3291964416 has 440 divisors, whose sum is σ = 10985413824. Its totient is φ = 975421440.

The previous prime is 3291964387. The next prime is 3291964421. The reversal of 3291964416 is 6144691923.

3291964416 is a `hidden beast` number, since 32 + 91 + 96 + 441 + 6 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46365661 + ... + 46365731.

Almost surely, 2^3291964416 is an apocalyptic number.

3291964416 is a gapful number since it is divisible by the number (36) 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 3291964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492706912).

3291964416 is an abundant number, since it is smaller than the sum of its proper divisors (7693449408).

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

3291964416 is a wasteful number, since it uses less digits than its factorization.

3291964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3291964416 is about 57375.6430552199. The cubic root of 3291964416 is about 1487.5961443023.

The spelling of 3291964416 in words is "three billion, two hundred ninety-one million, nine hundred sixty-four thousand, four hundred sixteen".