3629016 has 64 divisors (see below), whose sum is σ = 10303200. Its totient is φ = 1183104.

The previous prime is 3628991. The next prime is 3629027. The reversal of 3629016 is 6109263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 11290 + ... + 11606.

Almost surely, 2^3629016 is an apocalyptic number.

3629016 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 3629016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151600).

3629016 is an abundant number, since it is smaller than the sum of its proper divisors (6674184).

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

3629016 is a wasteful number, since it uses less digits than its factorization.

3629016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3629016 is about 1904.9976377938. The cubic root of 3629016 is about 153.6725487360.

The spelling of 3629016 in words is "three million, six hundred twenty-nine thousand, sixteen".