34799680 has 56 divisors (see below), whose sum is σ = 87754968. Its totient is φ = 13099008.

The previous prime is 34799657. The next prime is 34799711. The reversal of 34799680 is 8699743.

It can be written as a sum of positive squares in 4 ways, for example, as 506944 + 34292736 = 712^2 + 5856^2 .

It is a super-2 number, since 2×34799680² = 2422035456204800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34799680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2242 + ... + 8638.

It is an arithmetic number, because the mean of its divisors is an integer number (1567053).

Almost surely, 2^34799680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43877484).

34799680 is an abundant number, since it is smaller than the sum of its proper divisors (52955288).

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

34799680 is a wasteful number, since it uses less digits than its factorization.

34799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 34799680 is about 5899.1253588986. The cubic root of 34799680 is about 326.4813794906.

The spelling of 34799680 in words is "thirty-four million, seven hundred ninety-nine thousand, six hundred eighty".