34257984 has 56 divisors (see below), whose sum is σ = 91500960. Its totient is φ = 11311104.

The previous prime is 34257983. The next prime is 34257991. The reversal of 34257984 is 48975243.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34257983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20907 + ... + 22485.

Almost surely, 2^34257984 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 34257984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45750480).

34257984 is an abundant number, since it is smaller than the sum of its proper divisors (57242976).

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

34257984 is a wasteful number, since it uses less digits than its factorization.

34257984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1697 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 34257984 is about 5853.0320347663. The cubic root of 34257984 is about 324.7784968009.

The spelling of 34257984 in words is "thirty-four million, two hundred fifty-seven thousand, nine hundred eighty-four".