33954990 has 32 divisors (see below), whose sum is σ = 82529280. Its totient is φ = 8939424.

The previous prime is 33954971. The next prime is 33955007. The reversal of 33954990 is 9945933.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4794 + ... + 9533.

It is an arithmetic number, because the mean of its divisors is an integer number (2579040).

Almost surely, 2^33954990 is an apocalyptic number.

33954990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33954990 is an abundant number, since it is smaller than the sum of its proper divisors (48574290).

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

33954990 is a wasteful number, since it uses less digits than its factorization.

33954990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14416.

The product of its (nonzero) digits is 131220, while the sum is 42.

The square root of 33954990 is about 5827.0910409912. The cubic root of 33954990 is about 323.8181611876.

It can be divided in two parts, 3395 and 4990, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 33954990 in words is "thirty-three million, nine hundred fifty-four thousand, nine hundred ninety".