33945952 has 48 divisors (see below), whose sum is σ = 69092352. Its totient is φ = 16410240.

The previous prime is 33945943. The next prime is 33945959. The reversal of 33945952 is 25954933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33945959) 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 7 ways as a sum of consecutive naturals, for example, 152113 + ... + 152335.

It is an arithmetic number, because the mean of its divisors is an integer number (1439424).

Almost surely, 2^33945952 is an apocalyptic number.

33945952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33945952 is an abundant number, since it is smaller than the sum of its proper divisors (35146400).

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

33945952 is a wasteful number, since it uses less digits than its factorization.

33945952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its digits is 145800, while the sum is 40.

The square root of 33945952 is about 5826.3154737793. The cubic root of 33945952 is about 323.7894277746.

The spelling of 33945952 in words is "thirty-three million, nine hundred forty-five thousand, nine hundred fifty-two".