3646972 has 36 divisors (see below), whose sum is σ = 7756560. Its totient is φ = 1493184.

The previous prime is 3646963. The next prime is 3646997. The reversal of 3646972 is 2796463.

3646972 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4104 + ... + 4912.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^3646972 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 3646972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878280).

3646972 is an abundant number, since it is smaller than the sum of its proper divisors (4109588).

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

3646972 is a wasteful number, since it uses less digits than its factorization.

3646972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 841 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 3646972 is about 1909.7046892124. The cubic root of 3646972 is about 153.9255838810.

Subtracting from 3646972 its product of digits (54432), we obtain a triangular number (3592540 = T₂₆₈₀).

The spelling of 3646972 in words is "three million, six hundred forty-six thousand, nine hundred seventy-two".