3456433064 has 80 divisors (see below), whose sum is σ = 7880200800. Its totient is φ = 1392304896.

The previous prime is 3456433037. The next prime is 3456433067. The reversal of 3456433064 is 4603346543.

3456433064 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 not an unprimeable number, because it can be changed into a prime (3456433067) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4676807 + ... + 4677545.

It is an arithmetic number, because the mean of its divisors is an integer number (98502510).

Almost surely, 2^3456433064 is an apocalyptic number.

3456433064 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 3456433064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940100400).

3456433064 is an abundant number, since it is smaller than the sum of its proper divisors (4423767736).

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

3456433064 is an frugal number, since it uses more digits than its factorization.

3456433064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 38.

The square root of 3456433064 is about 58791.4369955353. The cubic root of 3456433064 is about 1511.9684084457.

The spelling of 3456433064 in words is "three billion, four hundred fifty-six million, four hundred thirty-three thousand, sixty-four".