3033972 has 36 divisors (see below), whose sum is σ = 7783776. Its totient is φ = 996240.

The previous prime is 3033971. The next prime is 3033983. The reversal of 3033972 is 2793303.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1963 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (216216).

Almost surely, 2^3033972 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 3033972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888).

3033972 is an abundant number, since it is smaller than the sum of its proper divisors (4749804).

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

3033972 is a wasteful number, since it uses less digits than its factorization.

3033972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 3033972 is about 1741.8300720794. The cubic root of 3033972 is about 144.7673160667.

It can be divided in two parts, 3033 and 972, that added together give a triangular number (4005 = T₈₉).

The spelling of 3033972 in words is "three million, thirty-three thousand, nine hundred seventy-two".