3416644644 has 96 divisors (see below), whose sum is σ = 9214248960. Its totient is φ = 965190912.

The previous prime is 3416644607. The next prime is 3416644669. The reversal of 3416644644 is 4464466143.

3416644644 is digitally balanced in base 2 and base 4, because in such bases 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 (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3416644596 and 3416644605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4130959 + ... + 4131785.

It is an arithmetic number, because the mean of its divisors is an integer number (95981760).

Almost surely, 2^3416644644 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 3416644644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607124480).

3416644644 is an abundant number, since it is smaller than the sum of its proper divisors (5797604316).

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

3416644644 is a wasteful number, since it uses less digits than its factorization.

3416644644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1335 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The square root of 3416644644 is about 58452.0713405436. The cubic root of 3416644644 is about 1506.1443736379.

The spelling of 3416644644 in words is "three billion, four hundred sixteen million, six hundred forty-four thousand, six hundred forty-four".