3292673328 has 240 divisors, whose sum is σ = 10984296960. Its totient is φ = 935359488.

The previous prime is 3292673309. The next prime is 3292673333. The reversal of 3292673328 is 8233762923.

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 47 ways as a sum of consecutive naturals, for example, 9171613 + ... + 9171971.

It is an arithmetic number, because the mean of its divisors is an integer number (45767904).

Almost surely, 2^3292673328 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 3292673328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492148480).

3292673328 is an abundant number, since it is smaller than the sum of its proper divisors (7691623632).

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

3292673328 is a wasteful number, since it uses less digits than its factorization.

3292673328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 708 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3292673328 is about 57381.8205357760. The cubic root of 3292673328 is about 1487.7029193596.

The spelling of 3292673328 in words is "three billion, two hundred ninety-two million, six hundred seventy-three thousand, three hundred twenty-eight".