34819164 has 72 divisors (see below), whose sum is σ = 91483392. Its totient is φ = 11158560.

The previous prime is 34819139. The next prime is 34819199. The reversal of 34819164 is 46191843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 128349 + ... + 128619.

Almost surely, 2^34819164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34819164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45741696).

34819164 is an abundant number, since it is smaller than the sum of its proper divisors (56664228).

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

34819164 is a wasteful number, since it uses less digits than its factorization.

34819164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 34819164 is about 5900.7765590641. The cubic root of 34819164 is about 326.5422993647.

The spelling of 34819164 in words is "thirty-four million, eight hundred nineteen thousand, one hundred sixty-four".