34982010 has 128 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 7864128.

The previous prime is 34981997. The next prime is 34982027. The reversal of 34982010 is 1028943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156759 + ... + 156981.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^34982010 is an apocalyptic number.

34982010 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 34982010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

34982010 is an abundant number, since it is smaller than the sum of its proper divisors (73398150).

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

34982010 is a wasteful number, since it uses less digits than its factorization.

34982010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 34982010 is about 5914.5591551696. The cubic root of 34982010 is about 327.0505771444.

The spelling of 34982010 in words is "thirty-four million, nine hundred eighty-two thousand, ten".