34193988 has 72 divisors (see below), whose sum is σ = 90668032. Its totient is φ = 11267424.

The previous prime is 34193963. The next prime is 34193989. The reversal of 34193988 is 88939143.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34193989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123306 + ... + 123582.

Almost surely, 2^34193988 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 34193988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45334016).

34193988 is an abundant number, since it is smaller than the sum of its proper divisors (56474044).

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

34193988 is a wasteful number, since it uses less digits than its factorization.

34193988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 34193988 is about 5847.5625691394. The cubic root of 34193988 is about 324.5761354051.

The spelling of 34193988 in words is "thirty-four million, one hundred ninety-three thousand, nine hundred eighty-eight".