34744960 has 48 divisors (see below), whose sum is σ = 83420190. Its totient is φ = 13838336.

The previous prime is 34744943. The next prime is 34744993. The reversal of 34744960 is 6944743.

It can be written as a sum of positive squares in 3 ways, for example, as 17505856 + 17239104 = 4184^2 + 4152^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149004 + ... + 149236.

Almost surely, 2^34744960 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 34744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41710095).

34744960 is an abundant number, since it is smaller than the sum of its proper divisors (48675230).

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

34744960 is an frugal number, since it uses more digits than its factorization.

34744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 34744960 is about 5894.4855585539. The cubic root of 34744960 is about 326.3101668710.

The spelling of 34744960 in words is "thirty-four million, seven hundred forty-four thousand, nine hundred sixty".