3213672 has 128 divisors (see below), whose sum is σ = 10506240. Its totient is φ = 794880.

The previous prime is 3213659. The next prime is 3213689. The reversal of 3213672 is 2763123.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68353 + ... + 68399.

It is an arithmetic number, because the mean of its divisors is an integer number (82080).

Almost surely, 2^3213672 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 3213672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253120).

3213672 is an abundant number, since it is smaller than the sum of its proper divisors (7292568).

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

3213672 is a wasteful number, since it uses less digits than its factorization.

3213672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 3213672 is about 1792.6717490941. The cubic root of 3213672 is about 147.5708287618.

3213672 divided by its sum of digits (24) gives a triangular number (133903 = T₅₁₇).

Adding to 3213672 its reverse (2763123), we get a palindrome (5976795).

It can be divided in two parts, 321 and 3672, that added together give a palindrome (3993).

The spelling of 3213672 in words is "three million, two hundred thirteen thousand, six hundred seventy-two".