34636440 has 128 divisors (see below), whose sum is σ = 110808000. Its totient is φ = 8644608.

The previous prime is 34636439. The next prime is 34636447. The reversal of 34636440 is 4463643.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34636398 and 34636407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34636447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 128626 + ... + 128894.

Almost surely, 2^34636440 is an apocalyptic number.

34636440 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 34636440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55404000).

34636440 is an abundant number, since it is smaller than the sum of its proper divisors (76171560).

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

34636440 is a wasteful number, since it uses less digits than its factorization.

34636440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 34636440 is about 5885.2731457427. The cubic root of 34636440 is about 325.9700877118.

The spelling of 34636440 in words is "thirty-four million, six hundred thirty-six thousand, four hundred forty".