34765440 has 128 divisors (see below), whose sum is σ = 116769600. Its totient is φ = 8773632.

The previous prime is 34765433. The next prime is 34765453. The reversal of 34765440 is 4456743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36004 + ... + 36956.

Almost surely, 2^34765440 is an apocalyptic number.

34765440 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 34765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58384800).

34765440 is an abundant number, since it is smaller than the sum of its proper divisors (82004160).

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

34765440 is a wasteful number, since it uses less digits than its factorization.

34765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 34765440 is about 5896.2225195459. Note that the first 3 decimals coincide. The cubic root of 34765440 is about 326.3742674831.

The spelling of 34765440 in words is "thirty-four million, seven hundred sixty-five thousand, four hundred forty".