3332408328 has 144 divisors (see below), whose sum is σ = 9855974700. Its totient is φ = 1015822080.

The previous prime is 3332408311. The next prime is 3332408329. The reversal of 3332408328 is 8238042333.

It is a happy number.

3332408328 is a `hidden beast` number, since 3 + 3 + 324 + 0 + 8 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3210128964 + 122279364 = 56658^2 + 11058^2 .

It is a super-2 number, since 2×3332408328² = 22209890529047511168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3332408292 and 3332408301.

It is not an unprimeable number, because it can be changed into a prime (3332408329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 751558 + ... + 755978.

Almost surely, 2^3332408328 is an apocalyptic number.

3332408328 is a gapful number since it is divisible by the number (38) 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 3332408328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927987350).

3332408328 is an abundant number, since it is smaller than the sum of its proper divisors (6523566372).

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

3332408328 is a wasteful number, since it uses less digits than its factorization.

3332408328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3332408328 is about 57727.0155819613. The cubic root of 3332408328 is about 1493.6633919592.

The spelling of 3332408328 in words is "three billion, three hundred thirty-two million, four hundred eight thousand, three hundred twenty-eight".