34481376 has 120 divisors (see below), whose sum is σ = 103733784. Its totient is φ = 11232000.

The previous prime is 34481357. The next prime is 34481383. The reversal of 34481376 is 67318443.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34481376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137251 + ... + 137501.

Almost surely, 2^34481376 is an apocalyptic number.

34481376 is a gapful number since it is divisible by the number (36) 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 34481376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51866892).

34481376 is an abundant number, since it is smaller than the sum of its proper divisors (69252408).

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

34481376 is a wasteful number, since it uses less digits than its factorization.

34481376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 34481376 is about 5872.0844680573. The cubic root of 34481376 is about 325.4829144337.

The spelling of 34481376 in words is "thirty-four million, four hundred eighty-one thousand, three hundred seventy-six".