3639234816 has 216 divisors, whose sum is σ = 12249479424. Its totient is φ = 1017446400.

The previous prime is 3639234803. The next prime is 3639234817. The reversal of 3639234816 is 6184329363.

3639234816 is a `hidden beast` number, since 3 + 639 + 2 + 3 + 4 + 8 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3639234817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755616 + ... + 760416.

Almost surely, 2^3639234816 is an apocalyptic number.

3639234816 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 3639234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124739712).

3639234816 is an abundant number, since it is smaller than the sum of its proper divisors (8610244608).

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

3639234816 is a wasteful number, since it uses less digits than its factorization.

3639234816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4860 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 3639234816 is about 60326.0707820425. The cubic root of 3639234816 is about 1538.1665389986.

The spelling of 3639234816 in words is "three billion, six hundred thirty-nine million, two hundred thirty-four thousand, eight hundred sixteen".