34826880 has 256 divisors, whose sum is σ = 129548160. Its totient is φ = 7864320.

The previous prime is 34826873. The next prime is 34826893. The reversal of 34826880 is 8862843.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358992 + ... + 359088.

Almost surely, 2^34826880 is an apocalyptic number.

34826880 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 34826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

34826880 is an abundant number, since it is smaller than the sum of its proper divisors (94721280).

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

34826880 is a wasteful number, since it uses less digits than its factorization.

34826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 34826880 is about 5901.4303350967. The cubic root of 34826880 is about 326.5664184034.

The spelling of 34826880 in words is "thirty-four million, eight hundred twenty-six thousand, eight hundred eighty".