3372922879200 has 2160 divisors, whose sum is σ = 15198290997120. Its totient is φ = 725896442880.

The previous prime is 3372922879199. The next prime is 3372922879243. The reversal of 3372922879200 is 29782292733.

3372922879200 is a `hidden beast` number, since 3 + 3 + 72 + 92 + 287 + 9 + 200 = 666.

3372922879200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×3372922879200² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 20692778319 + ... + 20692778481.

It is an arithmetic number, because the mean of its divisors is an integer number (7036245832).

Almost surely, 2^{3372922879200} is an apocalyptic number.

3372922879200 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 3372922879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599145498560).

3372922879200 is an abundant number, since it is smaller than the sum of its proper divisors (11825368117920).

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

3372922879200 is an equidigital number, since it uses as much as digits as its factorization.

3372922879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3372922879200 in words is "three trillion, three hundred seventy-two billion, nine hundred twenty-two million, eight hundred seventy-nine thousand, two hundred".