3642668406 has 48 divisors (see below), whose sum is σ = 8516158560. Its totient is φ = 1118632320.

The previous prime is 3642668383. The next prime is 3642668413. The reversal of 3642668406 is 6048662463.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106975 + ... + 136853.

It is an arithmetic number, because the mean of its divisors is an integer number (177419970).

Almost surely, 2^3642668406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642668406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258079280).

3642668406 is an abundant number, since it is smaller than the sum of its proper divisors (4873490154).

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

3642668406 is a wasteful number, since it uses less digits than its factorization.

3642668406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30421 (or 30418 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3642668406 is about 60354.5226640059. The cubic root of 3642668406 is about 1538.6501363651.

The spelling of 3642668406 in words is "three billion, six hundred forty-two million, six hundred sixty-eight thousand, four hundred six".