3642704406 has 64 divisors (see below), whose sum is σ = 8840067840. Its totient is φ = 1102691520.

The previous prime is 3642704389. The next prime is 3642704467. The reversal of 3642704406 is 6044072463.

3642704406 is a `hidden beast` number, since 3 + 642 + 7 + 0 + 4 + 4 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

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, 688186 + ... + 693458.

It is an arithmetic number, because the mean of its divisors is an integer number (138126060).

Almost surely, 2^3642704406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642704406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420033920).

3642704406 is an abundant number, since it is smaller than the sum of its proper divisors (5197363434).

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

3642704406 is a wasteful number, since it uses less digits than its factorization.

3642704406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3642704406 is about 60354.8209010680. The cubic root of 3642704406 is about 1538.6552051056.

Adding to 3642704406 its reverse (6044072463), we get a palindrome (9686776869).

The spelling of 3642704406 in words is "three billion, six hundred forty-two million, seven hundred four thousand, four hundred six".