33729990 has 32 divisors (see below), whose sum is σ = 92517120. Its totient is φ = 7709664.

The previous prime is 33729979. The next prime is 33729991. The reversal of 33729990 is 9992733.

It is a super-2 number, since 2×33729990² = 2275424450800200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33729991) 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 15 ways as a sum of consecutive naturals, for example, 80100 + ... + 80519.

It is an arithmetic number, because the mean of its divisors is an integer number (2891160).

Almost surely, 2^33729990 is an apocalyptic number.

33729990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33729990 is an abundant number, since it is smaller than the sum of its proper divisors (58787130).

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

33729990 is a wasteful number, since it uses less digits than its factorization.

33729990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160636.

The product of its (nonzero) digits is 91854, while the sum is 42.

The square root of 33729990 is about 5807.7525773745. The cubic root of 33729990 is about 323.1013238591.

The spelling of 33729990 in words is "thirty-three million, seven hundred twenty-nine thousand, nine hundred ninety".