3325722624000 has 1520 divisors, whose sum is σ = 14250875633280. Its totient is φ = 755918438400.

The previous prime is 3325722623939. The next prime is 3325722624043. The reversal of 3325722624000 is 4262275233.

3325722624000 is a `hidden beast` number, since 3 + 3 + 2 + 5 + 7 + 22 + 624 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3325722624000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18579455911 + ... + 18579456089.

Almost surely, 2^{3325722624000} is an apocalyptic number.

3325722624000 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 3325722624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125437816640).

3325722624000 is an abundant number, since it is smaller than the sum of its proper divisors (10925153009280).

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

3325722624000 is an frugal number, since it uses more digits than its factorization.

3325722624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 3325722624000 its reverse (4262275233), we get a palindrome (3329984899233).

The spelling of 3325722624000 in words is "three trillion, three hundred twenty-five billion, seven hundred twenty-two million, six hundred twenty-four thousand".