3455883827200 has 288 divisors, whose sum is σ = 10057273480800. Its totient is φ = 1152846397440.

The previous prime is 3455883827141. The next prime is 3455883827219. The reversal of 3455883827200 is 27283885543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13130496 + ... + 13391104.

It is an arithmetic number, because the mean of its divisors is an integer number (34921088475).

Almost surely, 2^{3455883827200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455883827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028636740400).

3455883827200 is an abundant number, since it is smaller than the sum of its proper divisors (6601389653600).

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

3455883827200 is a wasteful number, since it uses less digits than its factorization.

3455883827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260685 (or 260660 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 3455883827200 in words is "three trillion, four hundred fifty-five billion, eight hundred eighty-three million, eight hundred twenty-seven thousand, two hundred".