3455989286400 has 1800 divisors, whose sum is σ = 15144488603640. Its totient is φ = 775878082560.

The previous prime is 3455989286363. The next prime is 3455989286401. The reversal of 3455989286400 is 46829895543.

3455989286400 is a `hidden beast` number, since 3 + 4 + 55 + 98 + 92 + 8 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455989286401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2997388224 + ... + 2997389376.

Almost surely, 2^{3455989286400} is an apocalyptic number.

3455989286400 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 3455989286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572244301820).

3455989286400 is an abundant number, since it is smaller than the sum of its proper divisors (11688499317240).

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

3455989286400 is a wasteful number, since it uses less digits than its factorization.

3455989286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 3455989286400 in words is "three trillion, four hundred fifty-five billion, nine hundred eighty-nine million, two hundred eighty-six thousand, four hundred".