34405440 has 56 divisors (see below), whose sum is σ = 109240320. Its totient is φ = 9174528.

The previous prime is 34405439. The next prime is 34405453. The reversal of 34405440 is 4450443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34405440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16960 + ... + 18879.

It is an arithmetic number, because the mean of its divisors is an integer number (1950720).

Almost surely, 2^34405440 is an apocalyptic number.

34405440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34405440 is an abundant number, since it is smaller than the sum of its proper divisors (74834880).

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

34405440 is a wasteful number, since it uses less digits than its factorization.

34405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35859 (or 35849 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 34405440 is about 5865.6150572638. The cubic root of 34405440 is about 325.2438091635.

Adding to 34405440 its reverse (4450443), we get a palindrome (38855883).

The spelling of 34405440 in words is "thirty-four million, four hundred five thousand, four hundred forty".