3632352 has 48 divisors (see below), whose sum is σ = 9635472. Its totient is φ = 1198080.

The previous prime is 3632351. The next prime is 3632353. The reversal of 3632352 is 2532363.

It is an interprime number because it is at equal distance from previous prime (3632351) and next prime (3632353).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3632351) 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, 14952 + ... + 15192.

It is an arithmetic number, because the mean of its divisors is an integer number (200739).

Almost surely, 2^3632352 is an apocalyptic number.

3632352 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 3632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817736).

3632352 is an abundant number, since it is smaller than the sum of its proper divisors (6003120).

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

3632352 is a wasteful number, since it uses less digits than its factorization.

3632352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 3632352 is about 1905.8730282996. The cubic root of 3632352 is about 153.7196225265.

It can be divided in two parts, 363 and 2352, that multiplied together give a square (853776 = 924²).

The spelling of 3632352 in words is "three million, six hundred thirty-two thousand, three hundred fifty-two".