34793010 has 128 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 7741440.

The previous prime is 34792991. The next prime is 34793021. The reversal of 34793010 is 1039743.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77266 + ... + 77714.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^34793010 is an apocalyptic number.

34793010 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 34793010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

34793010 is an abundant number, since it is smaller than the sum of its proper divisors (74070990).

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

34793010 is a wasteful number, since it uses less digits than its factorization.

34793010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 34793010 is about 5898.5599937612. The cubic root of 34793010 is about 326.4605194334.

The spelling of 34793010 in words is "thirty-four million, seven hundred ninety-three thousand, ten".