34812720 has 160 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 9112320.

The previous prime is 34812707. The next prime is 34812727. The reversal of 34812720 is 2721843.

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 (34812727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153247 + ... + 153473.

It is an arithmetic number, because the mean of its divisors is an integer number (763344).

Almost surely, 2^34812720 is an apocalyptic number.

34812720 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 34812720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

34812720 is an abundant number, since it is smaller than the sum of its proper divisors (87322320).

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

34812720 is a wasteful number, since it uses less digits than its factorization.

34812720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34812720 is about 5900.2305039719. The cubic root of 34812720 is about 326.5221536733.

The spelling of 34812720 in words is "thirty-four million, eight hundred twelve thousand, seven hundred twenty".