3629152 has 48 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 1669248.

The previous prime is 3629141. The next prime is 3629159. The reversal of 3629152 is 2519263.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3629152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28513 + ... + 28639.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 2^3629152 is an apocalyptic number.

3629152 is a gapful number since it is divisible by the number (32) 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 3629152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

3629152 is an abundant number, since it is smaller than the sum of its proper divisors (4112288).

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

3629152 is a wasteful number, since it uses less digits than its factorization.

3629152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 3629152 is about 1905.0333330417. The cubic root of 3629152 is about 153.6744683754.

The spelling of 3629152 in words is "three million, six hundred twenty-nine thousand, one hundred fifty-two".