3629376 has 42 divisors (see below), whose sum is σ = 10404602. Its totient is φ = 1209600.

The previous prime is 3629363. The next prime is 3629389. The reversal of 3629376 is 6739263.

It is an interprime number because it is at equal distance from previous prime (3629363) and next prime (3629389).

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 389376 = 1800^2 + 624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹¹ + 6 + 2²¹ + 9² + 3¹² + 7⁷ + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 3629376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2575 + ... + 3726.

Almost surely, 2^3629376 is an apocalyptic number.

3629376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3629376 is an abundant number, since it is smaller than the sum of its proper divisors (6775226).

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

3629376 is a wasteful number, since it uses less digits than its factorization.

3629376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319 (or 6306 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 3629376 is about 1905.0921237567. The cubic root of 3629376 is about 153.6776300297.

It can be divided in two parts, 3629 and 376, that added together give a triangular number (4005 = T₈₉).

The spelling of 3629376 in words is "three million, six hundred twenty-nine thousand, three hundred seventy-six".