3933972 has 72 divisors (see below), whose sum is σ = 11583936. Its totient is φ = 1102464.

The previous prime is 3933971. The next prime is 3933973. The reversal of 3933972 is 2793393.

3933972 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3933971) and next prime (3933973).

It is a super-2 number, since 2×3933972² = 30952271393568, 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3933971) 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, 16768 + ... + 17000.

It is an arithmetic number, because the mean of its divisors is an integer number (160888).

Almost surely, 2^3933972 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 3933972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791968).

3933972 is an abundant number, since it is smaller than the sum of its proper divisors (7649964).

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

3933972 is a wasteful number, since it uses less digits than its factorization.

3933972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 312 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The square root of 3933972 is about 1983.4243116388. The cubic root of 3933972 is about 157.8618136970.

The spelling of 3933972 in words is "three million, nine hundred thirty-three thousand, nine hundred seventy-two".