34935040 has 108 divisors (see below), whose sum is σ = 97517196. Its totient is φ = 11956224.

The previous prime is 34935037. The next prime is 34935077. The reversal of 34935040 is 4053943.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 27709696 = 2688^2 + 5264^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 62442 + ... + 62998.

It is an arithmetic number, because the mean of its divisors is an integer number (902937).

Almost surely, 2^34935040 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 34935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48758598).

34935040 is an abundant number, since it is smaller than the sum of its proper divisors (62582156).

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

34935040 is an equidigital number, since it uses as much as digits as its factorization.

34935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 34935040 is about 5910.5871112775. The cubic root of 34935040 is about 326.9041357210.

Adding to 34935040 its reverse (4053943), we get a palindrome (38988983).

The spelling of 34935040 in words is "thirty-four million, nine hundred thirty-five thousand, forty".