33963872 has 24 divisors (see below), whose sum is σ = 69174000. Its totient is φ = 16395904.

The previous prime is 33963863. The next prime is 33963877. The reversal of 33963872 is 27836933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33963877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17372 + ... + 19227.

It is an arithmetic number, because the mean of its divisors is an integer number (2882250).

Almost surely, 2^33963872 is an apocalyptic number.

33963872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33963872 is an abundant number, since it is smaller than the sum of its proper divisors (35210128).

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

33963872 is a wasteful number, since it uses less digits than its factorization.

33963872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36638 (or 36630 counting only the distinct ones).

The product of its digits is 163296, while the sum is 41.

The square root of 33963872 is about 5827.8531210043. The cubic root of 33963872 is about 323.8463936817.

The spelling of 33963872 in words is "thirty-three million, nine hundred sixty-three thousand, eight hundred seventy-two".