3629079168 has 128 divisors (see below), whose sum is σ = 11325182400. Its totient is φ = 1015111680.

The previous prime is 3629079109. The next prime is 3629079193. The reversal of 3629079168 is 8619709263.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3629079168² = 26340431215223144448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3629079168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21868 + ... + 87956.

Almost surely, 2^3629079168 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 3629079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662591200).

3629079168 is an abundant number, since it is smaller than the sum of its proper divisors (7696103232).

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

3629079168 is a wasteful number, since it uses less digits than its factorization.

3629079168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66130 (or 66118 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 3629079168 is about 60241.8390157538. The cubic root of 3629079168 is about 1536.7344035799.

The spelling of 3629079168 in words is "three billion, six hundred twenty-nine million, seventy-nine thousand, one hundred sixty-eight".