3292644672 has 336 divisors, whose sum is σ = 10549493760. Its totient is φ = 977163264.

The previous prime is 3292644637. The next prime is 3292644673. The reversal of 3292644672 is 2764462923.

3292644672 is a `hidden beast` number, since 329 + 264 + 4 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3292644673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25926273 + ... + 25926399.

Almost surely, 2^3292644672 is an apocalyptic number.

3292644672 is a gapful number since it is divisible by the number (32) 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 3292644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274746880).

3292644672 is an abundant number, since it is smaller than the sum of its proper divisors (7256849088).

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

3292644672 is a wasteful number, since it uses less digits than its factorization.

3292644672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 3292644672 is about 57381.5708394254. The cubic root of 3292644672 is about 1487.6986035414.

The spelling of 3292644672 in words is "three billion, two hundred ninety-two million, six hundred forty-four thousand, six hundred seventy-two".