34198164 has 216 divisors, whose sum is σ = 118302912. Its totient is φ = 8087040.

The previous prime is 34198147. The next prime is 34198181. The reversal of 34198164 is 46189143.

It is an interprime number because it is at equal distance from previous prime (34198147) and next prime (34198181).

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 71 ways as a sum of consecutive naturals, for example, 468432 + ... + 468504.

Almost surely, 2^34198164 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 34198164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59151456).

34198164 is an abundant number, since it is smaller than the sum of its proper divisors (84104748).

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

34198164 is a wasteful number, since it uses less digits than its factorization.

34198164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

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

The square root of 34198164 is about 5847.9196300907. The cubic root of 34198164 is about 324.5893480081.

34198164 divided by its sum of digits (36) gives a palindrome (949949).

The spelling of 34198164 in words is "thirty-four million, one hundred ninety-eight thousand, one hundred sixty-four".