34149168 has 80 divisors (see below), whose sum is σ = 98907360. Its totient is φ = 11280384.

The previous prime is 34149149. The next prime is 34149217. The reversal of 34149168 is 86194143.

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

It is a nude number because it is divisible by every one of its digits.

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, 58896 + ... + 59472.

It is an arithmetic number, because the mean of its divisors is an integer number (1236342).

Almost surely, 2^34149168 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 34149168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49453680).

34149168 is an abundant number, since it is smaller than the sum of its proper divisors (64758192).

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

34149168 is a wasteful number, since it uses less digits than its factorization.

34149168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

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

The square root of 34149168 is about 5843.7289464861. The cubic root of 34149168 is about 324.4342599473.

The spelling of 34149168 in words is "thirty-four million, one hundred forty-nine thousand, one hundred sixty-eight".