33941952 has 126 divisors (see below), whose sum is σ = 107156504. Its totient is φ = 10264320.

The previous prime is 33941939. The next prime is 33941981. The reversal of 33941952 is 25914933.

It is a happy number.

It is a super-2 number, since 2×33941952² = 2304112211140608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69453 + ... + 69939.

Almost surely, 2^33941952 is an apocalyptic number.

33941952 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 33941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53578252).

33941952 is an abundant number, since it is smaller than the sum of its proper divisors (73214552).

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

33941952 is a wasteful number, since it uses less digits than its factorization.

33941952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 503 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 33941952 is about 5825.9721935485. The cubic root of 33941952 is about 323.7767094336.

The spelling of 33941952 in words is "thirty-three million, nine hundred forty-one thousand, nine hundred fifty-two".