34956320 has 144 divisors (see below), whose sum is σ = 100336320. Its totient is φ = 11269632.

The previous prime is 34956289. The next prime is 34956323. The reversal of 34956320 is 2365943.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34956323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592451 + ... + 592509.

It is an arithmetic number, because the mean of its divisors is an integer number (696780).

Almost surely, 2^34956320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168160).

34956320 is an abundant number, since it is smaller than the sum of its proper divisors (65380000).

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

34956320 is a wasteful number, since it uses less digits than its factorization.

34956320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 34956320 is about 5912.3869968059. The cubic root of 34956320 is about 326.9704980133.

The spelling of 34956320 in words is "thirty-four million, nine hundred fifty-six thousand, three hundred twenty".