3322604561400 has 576 divisors, whose sum is σ = 11671952947200. Its totient is φ = 879593904000.

The previous prime is 3322604561389. The next prime is 3322604561429. The reversal of 3322604561400 is 41654062233.

3322604561400 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 60 + 456 + 140 + 0 = 666.

It is a super-2 number, since 2×3322604561400² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6767015155 + ... + 6767015645.

It is an arithmetic number, because the mean of its divisors is an integer number (20263807200).

Almost surely, 2^{3322604561400} is an apocalyptic number.

3322604561400 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 3322604561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835976473600).

3322604561400 is an abundant number, since it is smaller than the sum of its proper divisors (8349348385800).

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

3322604561400 is an equidigital number, since it uses as much as digits as its factorization.

3322604561400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3322604561400 in words is "three trillion, three hundred twenty-two billion, six hundred four million, five hundred sixty-one thousand, four hundred".