3325307040 has 768 divisors, whose sum is σ = 13934592000. Its totient is φ = 731566080.

The previous prime is 3325307017. The next prime is 3325307047. The reversal of 3325307040 is 407035233.

It is a super-2 number, since 2×3325307040² = 22115333820547123200, 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 = 3325306995 and 3325307013.

It is not an unprimeable number, because it can be changed into a prime (3325307047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26183457 + ... + 26183583.

It is an arithmetic number, because the mean of its divisors is an integer number (18144000).

Almost surely, 2^3325307040 is an apocalyptic number.

3325307040 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 3325307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296000).

3325307040 is an abundant number, since it is smaller than the sum of its proper divisors (10609284960).

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

3325307040 is a wasteful number, since it uses less digits than its factorization.

3325307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 3325307040 is about 57665.4752863444. The cubic root of 3325307040 is about 1492.6016496006.

The spelling of 3325307040 in words is "three billion, three hundred twenty-five million, three hundred seven thousand, forty".