34668590 has 64 divisors (see below), whose sum is σ = 72410112. Its totient is φ = 11827200.

The previous prime is 34668581. The next prime is 34668607. The reversal of 34668590 is 9586643.

It is a super-3 number, since 3×34668590³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179534 + ... + 179726.

It is an arithmetic number, because the mean of its divisors is an integer number (1131408).

Almost surely, 2^34668590 is an apocalyptic number.

34668590 is an abundant number, since it is smaller than the sum of its proper divisors (37741522).

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

34668590 is a wasteful number, since it uses less digits than its factorization.

34668590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305.

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 34668590 is about 5888.0039062487. The cubic root of 34668590 is about 326.0709130992.

The spelling of 34668590 in words is "thirty-four million, six hundred sixty-eight thousand, five hundred ninety".