3332672 has 56 divisors (see below), whose sum is σ = 7778496. Its totient is φ = 1387008.

The previous prime is 3332617. The next prime is 3332687. The reversal of 3332672 is 2762333.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3332672² = 22213405319168, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3³ + 3¹¹ + 3¹² + 2¹⁹ + 6³ + 7⁴ + 2²¹ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19178 + ... + 19350.

Almost surely, 2^3332672 is an apocalyptic number.

3332672 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 3332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889248).

3332672 is an abundant number, since it is smaller than the sum of its proper divisors (4445824).

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

3332672 is a wasteful number, since it uses less digits than its factorization.

3332672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 4536, while the sum is 26.

The square root of 3332672 is about 1825.5607357741. The cubic root of 3332672 is about 149.3702785574.

It can be divided in two parts, 3332 and 672, that added together give a palindrome (4004).

The spelling of 3332672 in words is "three million, three hundred thirty-two thousand, six hundred seventy-two".