34573680 has 120 divisors (see below), whose sum is σ = 119932800. Its totient is φ = 8916480.

The previous prime is 34573661. The next prime is 34573691. The reversal of 34573680 is 8637543.

It is a happy number.

34573680 is a `hidden beast` number, since 3 + 4 + 573 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21546 + ... + 23094.

It is an arithmetic number, because the mean of its divisors is an integer number (999440).

Almost surely, 2^34573680 is an apocalyptic number.

34573680 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 34573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59966400).

34573680 is an abundant number, since it is smaller than the sum of its proper divisors (85359120).

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

34573680 is a wasteful number, since it uses less digits than its factorization.

34573680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34573680 is about 5879.9387751915. The cubic root of 34573680 is about 325.7730866008.

It can be divided in two parts, 34573 and 680, that added together give a palindrome (35253).

The spelling of 34573680 in words is "thirty-four million, five hundred seventy-three thousand, six hundred eighty".