34093980 has 96 divisors (see below), whose sum is σ = 111686400. Its totient is φ = 8610624.

The previous prime is 34093979. The next prime is 34094009. The reversal of 34093980 is 8939043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8599 + ... + 11921.

It is an arithmetic number, because the mean of its divisors is an integer number (1163400).

Almost surely, 2^34093980 is an apocalyptic number.

34093980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34093980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55843200).

34093980 is an abundant number, since it is smaller than the sum of its proper divisors (77592420).

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

34093980 is a wasteful number, since it uses less digits than its factorization.

34093980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34093980 is about 5839.0050522328. The cubic root of 34093980 is about 324.2593944681.

The spelling of 34093980 in words is "thirty-four million, ninety-three thousand, nine hundred eighty".