34797240 has 96 divisors (see below), whose sum is σ = 113976720. Its totient is φ = 9206784.

The previous prime is 34797223. The next prime is 34797241. The reversal of 34797240 is 4279743.

34797240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34797195 and 34797204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34797241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58384 + ... + 58976.

Almost surely, 2^34797240 is an apocalyptic number.

34797240 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 34797240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56988360).

34797240 is an abundant number, since it is smaller than the sum of its proper divisors (79179480).

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

34797240 is a wasteful number, since it uses less digits than its factorization.

34797240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 34797240 is about 5898.9185449538. The cubic root of 34797240 is about 326.4737488343.

The spelling of 34797240 in words is "thirty-four million, seven hundred ninety-seven thousand, two hundred forty".