3455643312 has 240 divisors, whose sum is σ = 11248342560. Its totient is φ = 978739200.

The previous prime is 3455643299. The next prime is 3455643337. The reversal of 3455643312 is 2133465543.

3455643312 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 643 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4873614 + ... + 4874322.

It is an arithmetic number, because the mean of its divisors is an integer number (46868094).

Almost surely, 2^3455643312 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 3455643312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624171280).

3455643312 is an abundant number, since it is smaller than the sum of its proper divisors (7792699248).

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

3455643312 is a wasteful number, since it uses less digits than its factorization.

3455643312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 923 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 3455643312 is about 58784.7200554702. The cubic root of 3455643312 is about 1511.8532443437.

The spelling of 3455643312 in words is "three billion, four hundred fifty-five million, six hundred forty-three thousand, three hundred twelve".