34779680 has 96 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 12266496.

The previous prime is 34779659. The next prime is 34779683. The reversal of 34779680 is 8697743.

It is a super-2 number, since 2×34779680² = 2419252281804800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34779683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47477 + ... + 48203.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 2^34779680 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 34779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912).

34779680 is an abundant number, since it is smaller than the sum of its proper divisors (57682144).

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

34779680 is a wasteful number, since it uses less digits than its factorization.

34779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 34779680 is about 5897.4299487149. The cubic root of 34779680 is about 326.4188226041.

The spelling of 34779680 in words is "thirty-four million, seven hundred seventy-nine thousand, six hundred eighty".