33905690 has 128 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 9704448.

The previous prime is 33905689. The next prime is 33905693. The reversal of 33905690 is 9650933.

It is a super-2 number, since 2×33905690² = 2299191628752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 33905690.

It is not an unprimeable number, because it can be changed into a prime (33905693) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 639704 + ... + 639756.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 2^33905690 is an apocalyptic number.

33905690 is an abundant number, since it is smaller than the sum of its proper divisors (48830950).

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

33905690 is a wasteful number, since it uses less digits than its factorization.

33905690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 21870, while the sum is 35.

The square root of 33905690 is about 5822.8592632829. The cubic root of 33905690 is about 323.6613656978.

The spelling of 33905690 in words is "thirty-three million, nine hundred five thousand, six hundred ninety".