34194960 has 120 divisors (see below), whose sum is σ = 119159040. Its totient is φ = 9113472.

The previous prime is 34194947. The next prime is 34194971. The reversal of 34194960 is 6949143.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18561 + ... + 20319.

It is an arithmetic number, because the mean of its divisors is an integer number (992992).

Almost surely, 2^34194960 is an apocalyptic number.

34194960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34194960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579520).

34194960 is an abundant number, since it is smaller than the sum of its proper divisors (84964080).

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

34194960 is a wasteful number, since it uses less digits than its factorization.

34194960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34194960 is about 5847.6456801007. The cubic root of 34194960 is about 324.5792108484.

The spelling of 34194960 in words is "thirty-four million, one hundred ninety-four thousand, nine hundred sixty".