34412232240 has 80 divisors (see below), whose sum is σ = 118531029600. Its totient is φ = 9176594688.

The previous prime is 34412232233. The next prime is 34412232263. The reversal of 34412232240 is 4223221443.

34412232240 is a `hidden beast` number, since 3 + 4 + 412 + 2 + 3 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7963635 + ... + 7967954.

It is an arithmetic number, because the mean of its divisors is an integer number (1481637870).

Almost surely, 2^34412232240 is an apocalyptic number.

34412232240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34412232240 is an abundant number, since it is smaller than the sum of its proper divisors (84118797360).

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

34412232240 is a wasteful number, since it uses less digits than its factorization.

34412232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15931611 (or 15931599 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34412232240 its reverse (4223221443), we get a palindrome (38635453683).

The spelling of 34412232240 in words is "thirty-four billion, four hundred twelve million, two hundred thirty-two thousand, two hundred forty".