3331632 has 40 divisors (see below), whose sum is σ = 8888320. Its totient is φ = 1074240.

The previous prime is 3331621. The next prime is 3331639. The reversal of 3331632 is 2361333.

It is a super-2 number, since 2×3331632² = 22199543566848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3331599 and 3331608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331639) 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, 369 + ... + 2607.

It is an arithmetic number, because the mean of its divisors is an integer number (222208).

Almost surely, 2^3331632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444160).

3331632 is an abundant number, since it is smaller than the sum of its proper divisors (5556688).

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

3331632 is a wasteful number, since it uses less digits than its factorization.

3331632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2275 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 3331632 is about 1825.2758695605. The cubic root of 3331632 is about 149.3547393492.

Adding to 3331632 its reverse (2361333), we get a palindrome (5692965).

Subtracting from 3331632 its reverse (2361333), we obtain a cube (970299 = 99³).

The spelling of 3331632 in words is "three million, three hundred thirty-one thousand, six hundred thirty-two".