34400982 has 64 divisors (see below), whose sum is σ = 90316800. Its totient is φ = 8462880.

The previous prime is 34400981. The next prime is 34400999. The reversal of 34400982 is 28900443.

It is a happy number.

34400982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6819 + ... + 10737.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^34400982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34400982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45158400).

34400982 is an abundant number, since it is smaller than the sum of its proper divisors (55915818).

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

34400982 is a wasteful number, since it uses less digits than its factorization.

34400982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 34400982 is about 5865.2350336538. The cubic root of 34400982 is about 325.2297610020.

The spelling of 34400982 in words is "thirty-four million, four hundred thousand, nine hundred eighty-two".