3629782016 has 66 divisors (see below), whose sum is σ = 8440792218. Its totient is φ = 1555599360.

The previous prime is 3629781973. The next prime is 3629782019. The reversal of 3629782016 is 6102879263.

It can be written as a sum of positive squares in only one way, i.e., 3523609600 + 106172416 = 59360^2 + 10304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629782019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14006 + ... + 86346.

Almost surely, 2^3629782016 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 3629782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220396109).

3629782016 is an abundant number, since it is smaller than the sum of its proper divisors (4811010202).

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

3629782016 is an equidigital number, since it uses as much as digits as its factorization.

3629782016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72375 (or 72350 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 3629782016 is about 60247.6722869855. The cubic root of 3629782016 is about 1536.8336042249.

The spelling of 3629782016 in words is "three billion, six hundred twenty-nine million, seven hundred eighty-two thousand, sixteen".