3455266810140 has 288 divisors, whose sum is σ = 11097617416704. Its totient is φ = 902202935040.

The previous prime is 3455266810117. The next prime is 3455266810141. The reversal of 3455266810140 is 410186625543.

3455266810140 is a `hidden beast` number, since 3 + 4 + 5 + 526 + 6 + 81 + 0 + 1 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455266810141) 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, 54346770 + ... + 54410310.

It is an arithmetic number, because the mean of its divisors is an integer number (38533393808).

Almost surely, 2^{3455266810140} is an apocalyptic number.

3455266810140 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 3455266810140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548808708352).

3455266810140 is an abundant number, since it is smaller than the sum of its proper divisors (7642350606564).

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

3455266810140 is a wasteful number, since it uses less digits than its factorization.

3455266810140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63799 (or 63785 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 3455266810140 in words is "three trillion, four hundred fifty-five billion, two hundred sixty-six million, eight hundred ten thousand, one hundred forty".