3629259216 has 160 divisors (see below), whose sum is σ = 11534976000. Its totient is φ = 1083265920.

The previous prime is 3629259203. The next prime is 3629259241. The reversal of 3629259216 is 6129529263.

3629259216 is a `hidden beast` number, since 3 + 629 + 2 + 5 + 9 + 2 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312685 + ... + 324083.

It is an arithmetic number, because the mean of its divisors is an integer number (72093600).

Almost surely, 2^3629259216 is an apocalyptic number.

3629259216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3629259216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767488000).

3629259216 is an abundant number, since it is smaller than the sum of its proper divisors (7905716784).

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

3629259216 is a wasteful number, since it uses less digits than its factorization.

3629259216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494 (or 11482 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 3629259216 is about 60243.3333739095. Note that the first 4 decimals coincide. The cubic root of 3629259216 is about 1536.7598169486.

The spelling of 3629259216 in words is "three billion, six hundred twenty-nine million, two hundred fifty-nine thousand, two hundred sixteen".