34691910 has 96 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 7951680.

The previous prime is 34691837. The next prime is 34691911. The reversal of 34691910 is 1919643.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34691911) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 68719 + ... + 69221.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^34691910 is an apocalyptic number.

34691910 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 34691910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

34691910 is an abundant number, since it is smaller than the sum of its proper divisors (61834170).

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

34691910 is a wasteful number, since it uses less digits than its factorization.

34691910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 34691910 is about 5889.9838709457. The cubic root of 34691910 is about 326.1440077879.

The spelling of 34691910 in words is "thirty-four million, six hundred ninety-one thousand, nine hundred ten".