3933952 has 54 divisors (see below), whose sum is σ = 8699264. Its totient is φ = 1774080.

The previous prime is 3933929. The next prime is 3933959. The reversal of 3933952 is 2593393.

3933952 = T₃₃ + T₃₄ + ... + T₂₈₆.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3933959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30913 + ... + 31039.

Almost surely, 2^3933952 is an apocalyptic number.

3933952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349632).

3933952 is an abundant number, since it is smaller than the sum of its proper divisors (4765312).

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

3933952 is a wasteful number, since it uses less digits than its factorization.

3933952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its digits is 21870, while the sum is 34.

The square root of 3933952 is about 1983.4192698469. The cubic root of 3933952 is about 157.8615461776.

It can be divided in two parts, 3933 and 952, that multiplied together give a triangular number (3744216 = T₂₇₃₆).

The spelling of 3933952 in words is "three million, nine hundred thirty-three thousand, nine hundred fifty-two".