3642807168 has 768 divisors, whose sum is σ = 14693875200. Its totient is φ = 873400320.

The previous prime is 3642807149. The next prime is 3642807187. The reversal of 3642807168 is 8617082463.

3642807168 is a `hidden beast` number, since 364 + 280 + 7 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3642807149) and next prime (3642807187).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280215930 + ... + 280215942.

It is an arithmetic number, because the mean of its divisors is an integer number (19132650).

Almost surely, 2^3642807168 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 3642807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7346937600).

3642807168 is an abundant number, since it is smaller than the sum of its proper divisors (11051068032).

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

3642807168 is an equidigital number, since it uses as much as digits as its factorization.

3642807168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3642807168 is about 60355.6722106547. The cubic root of 3642807168 is about 1538.6696736416.

The spelling of 3642807168 in words is "three billion, six hundred forty-two million, eight hundred seven thousand, one hundred sixty-eight".