34384680 has 192 divisors, whose sum is σ = 128606400. Its totient is φ = 7879680.

The previous prime is 34384667. The next prime is 34384697. The reversal of 34384680 is 8648343.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75012 + ... + 75468.

It is an arithmetic number, because the mean of its divisors is an integer number (669825).

Almost surely, 2^34384680 is an apocalyptic number.

34384680 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 34384680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64303200).

34384680 is an abundant number, since it is smaller than the sum of its proper divisors (94221720).

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

34384680 is a wasteful number, since it uses less digits than its factorization.

34384680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34384680 is about 5863.8451548451. The cubic root of 34384680 is about 325.1783793944.

It can be divided in two parts, 3438 and 4680, that added together give a palindrome (8118).

The spelling of 34384680 in words is "thirty-four million, three hundred eighty-four thousand, six hundred eighty".