34845984 has 96 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 11232000.

The previous prime is 34845983. The next prime is 34845997. The reversal of 34845984 is 48954843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (34845983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26134 + ... + 27434.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^34845984 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 34845984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

34845984 is an abundant number, since it is smaller than the sum of its proper divisors (70147296).

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

34845984 is a wasteful number, since it uses less digits than its factorization.

34845984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1337 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 34845984 is about 5903.0487038479. The cubic root of 34845984 is about 326.6261192673.

The spelling of 34845984 in words is "thirty-four million, eight hundred forty-five thousand, nine hundred eighty-four".