3455256640 has 84 divisors (see below), whose sum is σ = 9043914348. Its totient is φ = 1256442880.

The previous prime is 3455256631. The next prime is 3455256731. The reversal of 3455256640 is 466525543.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1425213504 + 2030043136 = 37752^2 + 45056^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3455256593 and 3455256602.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5899 + ... + 83338.

It is an arithmetic number, because the mean of its divisors is an integer number (107665647).

Almost surely, 2^3455256640 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 3455256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521957174).

3455256640 is an abundant number, since it is smaller than the sum of its proper divisors (5588657708).

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

3455256640 is a wasteful number, since it uses less digits than its factorization.

3455256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89276 (or 89255 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The square root of 3455256640 is about 58781.4310815924. The cubic root of 3455256640 is about 1511.7968522269.

The spelling of 3455256640 in words is "three billion, four hundred fifty-five million, two hundred fifty-six thousand, six hundred forty".