3352621244400 has 480 divisors, whose sum is σ = 12473798451200. Its totient is φ = 854234035200.

The previous prime is 3352621244389. The next prime is 3352621244407. The reversal of 3352621244400 is 44421262533.

3352621244400 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 6 + 2 + 1 + 244 + 400 = 666.

It is a super-2 number, since 2×3352621244400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352621244407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 26385822 + ... + 26512578.

Almost surely, 2^{3352621244400} is an apocalyptic number.

3352621244400 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 3352621244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236899225600).

3352621244400 is an abundant number, since it is smaller than the sum of its proper divisors (9121177206800).

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

3352621244400 is a wasteful number, since it uses less digits than its factorization.

3352621244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126894 (or 126877 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 3352621244400 in words is "three trillion, three hundred fifty-two billion, six hundred twenty-one million, two hundred forty-four thousand, four hundred".