3414406644 has 72 divisors (see below), whose sum is σ = 9498932352. Its totient is φ = 1025498880.

The previous prime is 3414406643. The next prime is 3414406661. The reversal of 3414406644 is 4466044143.

3414406644 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 4 + 0 + 6 + 644 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3414406599 and 3414406608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414406643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6597 + ... + 82899.

It is an arithmetic number, because the mean of its divisors is an integer number (131929616).

Almost surely, 2^3414406644 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 3414406644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749466176).

3414406644 is an abundant number, since it is smaller than the sum of its proper divisors (6084525708).

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

3414406644 is a wasteful number, since it uses less digits than its factorization.

3414406644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76437 (or 76432 counting only the distinct ones).

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

The square root of 3414406644 is about 58432.9243149785. The cubic root of 3414406644 is about 1505.8154459221.

The spelling of 3414406644 in words is "three billion, four hundred fourteen million, four hundred six thousand, six hundred forty-four".