34011090 has 80 divisors (see below), whose sum is σ = 92347200. Its totient is φ = 8981280.

The previous prime is 34011077. The next prime is 34011149. The reversal of 34011090 is 9011043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161085 + ... + 161295.

It is an arithmetic number, because the mean of its divisors is an integer number (1154340).

Almost surely, 2^34011090 is an apocalyptic number.

34011090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34011090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46173600).

34011090 is an abundant number, since it is smaller than the sum of its proper divisors (58336110).

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

34011090 is a wasteful number, since it uses less digits than its factorization.

34011090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 34011090 is about 5831.9027769674. The cubic root of 34011090 is about 323.9963991369.

The spelling of 34011090 in words is "thirty-four million, eleven thousand, ninety".