3339325440 has 624 divisors, whose sum is σ = 13309523136. Its totient is φ = 796262400.

The previous prime is 3339325421. The next prime is 3339325499. The reversal of 3339325440 is 445239333.

It is a super-2 number, since 2×3339325440² = 22302188788462387200, 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 = 3339325395 and 3339325404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54743010 + ... + 54743070.

It is an arithmetic number, because the mean of its divisors is an integer number (21329364).

Almost surely, 2^3339325440 is an apocalyptic number.

3339325440 is a gapful number since it is divisible by the number (30) 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 3339325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654761568).

3339325440 is an abundant number, since it is smaller than the sum of its proper divisors (9970197696).

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

3339325440 is an equidigital number, since it uses as much as digits as its factorization.

3339325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 3339325440 is about 57786.8967846518. The cubic root of 3339325440 is about 1494.6961482081.

The spelling of 3339325440 in words is "three billion, three hundred thirty-nine million, three hundred twenty-five thousand, four hundred forty".