3325922293824 has 336 divisors, whose sum is σ = 10939689594288. Its totient is φ = 957022470144.

The previous prime is 3325922293819. The next prime is 3325922293843. The reversal of 3325922293824 is 4283922295233.

3325922293824 is a `hidden beast` number, since 3 + 3 + 2 + 592 + 2 + 29 + 3 + 8 + 24 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 669778560000 + 2656143733824 = 818400^2 + 1629768^2 .

It is a super-2 number, since 2×3325922293824² (a number of 26 digits) contains 22 as substring.

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, 19902264 + ... + 20068680.

It is an arithmetic number, because the mean of its divisors is an integer number (32558599983).

Almost surely, 2^{3325922293824} is an apocalyptic number.

3325922293824 is a gapful number since it is divisible by the number (34) 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 3325922293824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469844797144).

3325922293824 is an abundant number, since it is smaller than the sum of its proper divisors (7613767300464).

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

3325922293824 is a wasteful number, since it uses less digits than its factorization.

3325922293824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166622 (or 166609 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 3325922293824 in words is "three trillion, three hundred twenty-five billion, nine hundred twenty-two million, two hundred ninety-three thousand, eight hundred twenty-four".