34313760 has 288 divisors, whose sum is σ = 132814080. Its totient is φ = 8266752.

The previous prime is 34313731. The next prime is 34313767. The reversal of 34313760 is 6731343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34313767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730057 + ... + 730103.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 2^34313760 is an apocalyptic number.

34313760 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 34313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66407040).

34313760 is an abundant number, since it is smaller than the sum of its proper divisors (98500320).

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

34313760 is a wasteful number, since it uses less digits than its factorization.

34313760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 34313760 is about 5857.7948069218. The cubic root of 34313760 is about 324.9546603418.

The spelling of 34313760 in words is "thirty-four million, three hundred thirteen thousand, seven hundred sixty".