34393984 has 32 divisors (see below), whose sum is σ = 68972400. Its totient is φ = 17083392.

The previous prime is 34393967. The next prime is 34394027. The reversal of 34393984 is 48939343.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×34393984² = 2365892270784512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34393984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20572 + ... + 22180.

Almost surely, 2^34393984 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 34393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34486200).

34393984 is an abundant number, since it is smaller than the sum of its proper divisors (34578416).

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

34393984 is a wasteful number, since it uses less digits than its factorization.

34393984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1778 counting only the distinct ones).

The product of its digits is 279936, while the sum is 43.

The square root of 34393984 is about 5864.6384372781. The cubic root of 34393984 is about 325.2077062807.

The spelling of 34393984 in words is "thirty-four million, three hundred ninety-three thousand, nine hundred eighty-four".