3400768864 has 48 divisors (see below), whose sum is σ = 7036234128. Its totient is φ = 1615928832.

The previous prime is 3400768843. The next prime is 3400768883. The reversal of 3400768864 is 4688670043.

3400768864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17514 + ... + 84310.

It is an arithmetic number, because the mean of its divisors is an integer number (146588211).

Almost surely, 2^3400768864 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 3400768864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518117064).

3400768864 is an abundant number, since it is smaller than the sum of its proper divisors (3635465264).

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

3400768864 is a wasteful number, since it uses less digits than its factorization.

3400768864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66887 (or 66879 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 3400768864 is about 58316.1115301766. Note that the first 3 decimals coincide. The cubic root of 3400768864 is about 1503.8079343917.

The spelling of 3400768864 in words is "three billion, four hundred million, seven hundred sixty-eight thousand, eight hundred sixty-four".