3372832008 has 512 divisors, whose sum is σ = 12249216000. Its totient is φ = 836075520.

The previous prime is 3372832007. The next prime is 3372832013. The reversal of 3372832008 is 8002382733.

3372832008 is a `hidden beast` number, since 3 + 372 + 83 + 200 + 8 = 666.

It is a super-2 number, since 2×3372832008² = 22751991508378624128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3372832007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 34771416 + ... + 34771512.

It is an arithmetic number, because the mean of its divisors is an integer number (23924250).

Almost surely, 2^3372832008 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 3372832008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124608000).

3372832008 is an abundant number, since it is smaller than the sum of its proper divisors (8876383992).

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

3372832008 is a wasteful number, since it uses less digits than its factorization.

3372832008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3372832008 is about 58076.0880913995. The cubic root of 3372832008 is about 1499.6787472027.

The spelling of 3372832008 in words is "three billion, three hundred seventy-two million, eight hundred thirty-two thousand, eight".