3339004032 has 320 divisors, whose sum is σ = 12233390400. Its totient is φ = 880367616.

The previous prime is 3339004021. The next prime is 3339004049. The reversal of 3339004032 is 2304009333.

It is a super-2 number, since 2×3339004032² = 22297895851424514048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3339003987 and 3339004005.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 941719 + ... + 945257.

It is an arithmetic number, because the mean of its divisors is an integer number (38229345).

Almost surely, 2^3339004032 is an apocalyptic number.

3339004032 is a gapful number since it is divisible by the number (32) 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 3339004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116695200).

3339004032 is an abundant number, since it is smaller than the sum of its proper divisors (8894386368).

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

3339004032 is a wasteful number, since it uses less digits than its factorization.

3339004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3339004032 is about 57784.1157412658. The cubic root of 3339004032 is about 1494.6481921441.

The spelling of 3339004032 in words is "three billion, three hundred thirty-nine million, four thousand, thirty-two".