3361632 has 72 divisors (see below), whose sum is σ = 9409176. Its totient is φ = 1050624.

The previous prime is 3361627. The next prime is 3361639. The reversal of 3361632 is 2361633.

It is a super-2 number, since 2×3361632² = 22601139406848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3³ + 3⁴ + 6⁸ + 1 + 6⁸ + 3⁵ + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34608 + ... + 34704.

It is an arithmetic number, because the mean of its divisors is an integer number (130683).

Almost surely, 2^3361632 is an apocalyptic number.

3361632 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 3361632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704588).

3361632 is an abundant number, since it is smaller than the sum of its proper divisors (6047544).

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

3361632 is a wasteful number, since it uses less digits than its factorization.

3361632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 3361632 is about 1833.4753884359. The cubic root of 3361632 is about 149.8016935013.

Subtracting from 3361632 its reverse (2361633), we obtain a palindrome (999999).

It can be divided in two parts, 3361 and 632, that added together give a palindrome (3993).

The spelling of 3361632 in words is "three million, three hundred sixty-one thousand, six hundred thirty-two".