34537680 has 60 divisors (see below), whose sum is σ = 115991460. Its totient is φ = 9209856.

The previous prime is 34537669. The next prime is 34537733. The reversal of 34537680 is 8673543.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19607184 + 14930496 = 4428^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 23265 + ... + 24704.

It is an arithmetic number, because the mean of its divisors is an integer number (1933191).

Almost surely, 2^34537680 is an apocalyptic number.

34537680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34537680 is an abundant number, since it is smaller than the sum of its proper divisors (81453780).

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

34537680 is a wasteful number, since it uses less digits than its factorization.

34537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47988 (or 47979 counting only the distinct ones).

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

The square root of 34537680 is about 5876.8767215248. The cubic root of 34537680 is about 325.6599764351.

It can be divided in two parts, 345 and 37680, that added together give a square (38025 = 195²).

The spelling of 34537680 in words is "thirty-four million, five hundred thirty-seven thousand, six hundred eighty".