3629472 has 96 divisors (see below), whose sum is σ = 11902464. Its totient is φ = 940800.

The previous prime is 3629471. The next prime is 3629473. The reversal of 3629472 is 2749263.

It is an interprime number because it is at equal distance from previous prime (3629471) and next prime (3629473).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3629471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7147 + ... + 7637.

It is an arithmetic number, because the mean of its divisors is an integer number (123984).

Almost surely, 2^3629472 is an apocalyptic number.

3629472 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 3629472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951232).

3629472 is an abundant number, since it is smaller than the sum of its proper divisors (8272992).

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

3629472 is a wasteful number, since it uses less digits than its factorization.

3629472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 3629472 is about 1905.1173192221. The cubic root of 3629472 is about 153.6789849846.

Subtracting from 3629472 its product of digits (18144), we obtain a triangular number (3611328 = T₂₆₈₇).

The spelling of 3629472 in words is "three million, six hundred twenty-nine thousand, four hundred seventy-two".