3330008472 has 128 divisors (see below), whose sum is σ = 9707765760. Its totient is φ = 932280960.

The previous prime is 3330008459. The next prime is 3330008527. The reversal of 3330008472 is 2748000333.

It is a super-2 number, since 2×3330008472² = 22177912847183549568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1825753 + ... + 1827575.

It is an arithmetic number, because the mean of its divisors is an integer number (75841920).

Almost surely, 2^3330008472 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 3330008472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853882880).

3330008472 is an abundant number, since it is smaller than the sum of its proper divisors (6377757288).

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

3330008472 is a wasteful number, since it uses less digits than its factorization.

3330008472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3330008472 is about 57706.2255913519. The cubic root of 3330008472 is about 1493.3047486468.

The spelling of 3330008472 in words is "three billion, three hundred thirty million, eight thousand, four hundred seventy-two".