3440340864 has 320 divisors, whose sum is σ = 10996722000. Its totient is φ = 1063895040.

The previous prime is 3440340859. The next prime is 3440340877. The reversal of 3440340864 is 4680430443.

3440340864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23089462 + ... + 23089610.

Almost surely, 2^3440340864 is an apocalyptic number.

3440340864 is a gapful number since it is divisible by the number (34) 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 3440340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498361000).

3440340864 is an abundant number, since it is smaller than the sum of its proper divisors (7556381136).

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

3440340864 is a wasteful number, since it uses less digits than its factorization.

3440340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3440340864 is about 58654.4189639621. The cubic root of 3440340864 is about 1509.6183214379.

The spelling of 3440340864 in words is "three billion, four hundred forty million, three hundred forty thousand, eight hundred sixty-four".