3223825733376 has 360 divisors, whose sum is σ = 10165063886208. Its totient is φ = 1014571008000.

The previous prime is 3223825733299. The next prime is 3223825733411. The reversal of 3223825733376 is 6733375283223.

It is a happy number.

3223825733376 is a `hidden beast` number, since 3 + 2 + 2 + 38 + 2 + 573 + 3 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26294296 + ... + 26416616.

Almost surely, 2^{3223825733376} is an apocalyptic number.

3223825733376 is a gapful number since it is divisible by the number (36) 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 3223825733376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082531943104).

3223825733376 is an abundant number, since it is smaller than the sum of its proper divisors (6941238152832).

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

3223825733376 is a wasteful number, since it uses less digits than its factorization.

3223825733376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122421 (or 122398 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 54.

The spelling of 3223825733376 in words is "three trillion, two hundred twenty-three billion, eight hundred twenty-five million, seven hundred thirty-three thousand, three hundred seventy-six".