3321972 has 30 divisors (see below), whose sum is σ = 8685138. Its totient is φ = 1107216.

The previous prime is 3321949. The next prime is 3321973. The reversal of 3321972 is 2791233.

It can be written as a sum of positive squares in only one way, i.e., 2232036 + 1089936 = 1494^2 + 1044^2 .

It is a super-2 number, since 2×3321972² = 22070995937568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321973) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4803 + ... + 5450.

Almost surely, 2^3321972 is an apocalyptic number.

It is an amenable number.

3321972 is an abundant number, since it is smaller than the sum of its proper divisors (5363166).

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

3321972 is a wasteful number, since it uses less digits than its factorization.

3321972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10269 (or 10258 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 3321972 is about 1822.6277732988. The cubic root of 3321972 is about 149.2102492558.

It can be divided in two parts, 332 and 1972, that added together give a square (2304 = 48²).

The spelling of 3321972 in words is "three million, three hundred twenty-one thousand, nine hundred seventy-two".