3366972 has 72 divisors (see below), whose sum is σ = 10063872. Its totient is φ = 928800.

The previous prime is 3366917. The next prime is 3366973. The reversal of 3366972 is 2796633.

It is a super-2 number, since 2×3366972² = 22673000897568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 3⁵ + 3⁸ + 6⁸ + 6⁸ + 9² + 7³ + 2⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7597 + ... + 8027.

It is an arithmetic number, because the mean of its divisors is an integer number (139776).

Almost surely, 2^3366972 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 3366972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031936).

3366972 is an abundant number, since it is smaller than the sum of its proper divisors (6696900).

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

3366972 is a wasteful number, since it uses less digits than its factorization.

3366972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 3366972 is about 1834.9310613753. The cubic root of 3366972 is about 149.8809722409.

The spelling of 3366972 in words is "three million, three hundred sixty-six thousand, nine hundred seventy-two".