3382302924 has 288 divisors, whose sum is σ = 11729442816. Its totient is φ = 793290240.

The previous prime is 3382302893. The next prime is 3382302943. The reversal of 3382302924 is 4292032833.

3382302924 is a `hidden beast` number, since 338 + 2 + 30 + 292 + 4 = 666.

3382302924 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3382302924² = 22879946139397899552, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1692694 + ... + 1694690.

It is an arithmetic number, because the mean of its divisors is an integer number (40727232).

Almost surely, 2^3382302924 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 3382302924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864721408).

3382302924 is an abundant number, since it is smaller than the sum of its proper divisors (8347139892).

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

3382302924 is a wasteful number, since it uses less digits than its factorization.

3382302924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3382302924 is about 58157.5697910427. The cubic root of 3382302924 is about 1501.0811352438.

The spelling of 3382302924 in words is "three billion, three hundred eighty-two million, three hundred two thousand, nine hundred twenty-four".