3322749306240 has 2048 divisors, whose sum is σ = 14962661683200. Its totient is φ = 678224461824.

The previous prime is 3322749306181. The next prime is 3322749306259. The reversal of 3322749306240 is 426039472233.

3322749306240 is a `hidden beast` number, since 3 + 32 + 2 + 74 + 9 + 306 + 240 = 666.

It is a super-2 number, since 2×3322749306240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10615812324 + ... + 10615812636.

It is an arithmetic number, because the mean of its divisors is an integer number (7305987150).

Almost surely, 2^{3322749306240} is an apocalyptic number.

3322749306240 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 3322749306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481330841600).

3322749306240 is an abundant number, since it is smaller than the sum of its proper divisors (11639912376960).

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

3322749306240 is a wasteful number, since it uses less digits than its factorization.

3322749306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 3322749306240 in words is "three trillion, three hundred twenty-two billion, seven hundred forty-nine million, three hundred six thousand, two hundred forty".