34881984 has 84 divisors (see below), whose sum is σ = 104369616. Its totient is φ = 11117568.

The previous prime is 34881971. The next prime is 34881989. The reversal of 34881984 is 48918843.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34881989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11932 + ... + 14564.

Almost surely, 2^34881984 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 34881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52184808).

34881984 is an abundant number, since it is smaller than the sum of its proper divisors (69487632).

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

34881984 is a wasteful number, since it uses less digits than its factorization.

34881984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2661 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 34881984 is about 5906.0971884994. The cubic root of 34881984 is about 326.7385616203.

The spelling of 34881984 in words is "thirty-four million, eight hundred eighty-one thousand, nine hundred eighty-four".