34681290 has 64 divisors (see below), whose sum is σ = 95662080. Its totient is φ = 7882560.

The previous prime is 34681271. The next prime is 34681291. The reversal of 34681290 is 9218643.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34681291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49845 + ... + 50535.

It is an arithmetic number, because the mean of its divisors is an integer number (1494720).

Almost surely, 2^34681290 is an apocalyptic number.

34681290 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 34681290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47831040).

34681290 is an abundant number, since it is smaller than the sum of its proper divisors (60980790).

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

34681290 is a wasteful number, since it uses less digits than its factorization.

34681290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 34681290 is about 5889.0822714579. The cubic root of 34681290 is about 326.1107243043.

The spelling of 34681290 in words is "thirty-four million, six hundred eighty-one thousand, two hundred ninety".