34197120 has 128 divisors (see below), whose sum is σ = 121176000. Its totient is φ = 9114624.

The previous prime is 34197109. The next prime is 34197161. The reversal of 34197120 is 2179143.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16291 + ... + 18269.

Almost surely, 2^34197120 is an apocalyptic number.

34197120 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 34197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60588000).

34197120 is an abundant number, since it is smaller than the sum of its proper divisors (86978880).

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

34197120 is a wasteful number, since it uses less digits than its factorization.

34197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 34197120 is about 5847.8303668968. The cubic root of 34197120 is about 324.5860449582.

It can be divided in two parts, 341 and 97120, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 34197120 in words is "thirty-four million, one hundred ninety-seven thousand, one hundred twenty".