3446225092800 has 2520 divisors, whose sum is σ = 15578579740416. Its totient is φ = 731531243520.

The previous prime is 3446225092799. The next prime is 3446225092829. The reversal of 3446225092800 is 82905226443.

3446225092800 is a `hidden beast` number, since 3 + 4 + 4 + 62 + 2 + 509 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×3446225092800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 20636078317 + ... + 20636078483.

Almost surely, 2^{3446225092800} is an apocalyptic number.

3446225092800 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 3446225092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7789289870208).

3446225092800 is an abundant number, since it is smaller than the sum of its proper divisors (12132354647616).

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

3446225092800 is a wasteful number, since it uses less digits than its factorization.

3446225092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3446225092800 in words is "three trillion, four hundred forty-six billion, two hundred twenty-five million, ninety-two thousand, eight hundred".