3277642464 has 72 divisors (see below), whose sum is σ = 9340334640. Its totient is φ = 1090257408.

The previous prime is 3277642457. The next prime is 3277642471. The reversal of 3277642464 is 4642467723.

3277642464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3277642457) and next prime (3277642471).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128572 + ... + 151940.

It is an arithmetic number, because the mean of its divisors is an integer number (129726870).

Almost surely, 2^3277642464 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 3277642464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670167320).

3277642464 is an abundant number, since it is smaller than the sum of its proper divisors (6062692176).

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

3277642464 is a wasteful number, since it uses less digits than its factorization.

3277642464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23872 (or 23861 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The square root of 3277642464 is about 57250.6983712863. The cubic root of 3277642464 is about 1485.4357065876.

The spelling of 3277642464 in words is "three billion, two hundred seventy-seven million, six hundred forty-two thousand, four hundred sixty-four".