3629950368 has 96 divisors (see below), whose sum is σ = 10448222400. Its totient is φ = 1094338560.

The previous prime is 3629950343. The next prime is 3629950447. The reversal of 3629950368 is 8630599263.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3629950368.

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, 199308 + ... + 216756.

It is an arithmetic number, because the mean of its divisors is an integer number (108835650).

Almost surely, 2^3629950368 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 3629950368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224111200).

3629950368 is an abundant number, since it is smaller than the sum of its proper divisors (6818272032).

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

3629950368 is a wasteful number, since it uses less digits than its factorization.

3629950368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17670 (or 17662 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The square root of 3629950368 is about 60249.0694367971. The cubic root of 3629950368 is about 1536.8573636875.

The spelling of 3629950368 in words is "three billion, six hundred twenty-nine million, nine hundred fifty thousand, three hundred sixty-eight".