34382880 has 240 divisors, whose sum is σ = 139043520. Its totient is φ = 7838208.

The previous prime is 34382869. The next prime is 34382921. The reversal of 34382880 is 8828343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 90531 + ... + 90909.

It is an arithmetic number, because the mean of its divisors is an integer number (579348).

Almost surely, 2^34382880 is an apocalyptic number.

34382880 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 34382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69521760).

34382880 is an abundant number, since it is smaller than the sum of its proper divisors (104660640).

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

34382880 is a wasteful number, since it uses less digits than its factorization.

34382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 34382880 is about 5863.6916699294. The cubic root of 34382880 is about 325.1727050524.

The spelling of 34382880 in words is "thirty-four million, three hundred eighty-two thousand, eight hundred eighty".