34464892 has 48 divisors (see below), whose sum is σ = 75801600. Its totient is φ = 13320000.

The previous prime is 34464869. The next prime is 34464907. The reversal of 34464892 is 29846443.

34464892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45517 + ... + 46267.

It is an arithmetic number, because the mean of its divisors is an integer number (1579200).

Almost surely, 2^34464892 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 34464892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37900800).

34464892 is an abundant number, since it is smaller than the sum of its proper divisors (41336708).

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

34464892 is a wasteful number, since it uses less digits than its factorization.

34464892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 34464892 is about 5870.6807101051. The cubic root of 34464892 is about 325.4310399034.

It can be divided in two parts, 3446 and 4892, that added together give a palindrome (8338).

The spelling of 34464892 in words is "thirty-four million, four hundred sixty-four thousand, eight hundred ninety-two".