34400544435 has 24 divisors (see below), whose sum is σ = 62220117024. Its totient is φ = 17549262720.

The previous prime is 34400544433. The next prime is 34400544443. The reversal of 34400544435 is 53444500443.

34400544435 is a `hidden beast` number, since 34 + 40 + 0 + 544 + 43 + 5 = 666.

It is not a de Polignac number, because 34400544435 - 2¹ = 34400544433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34400544435.

It is not an unprimeable number, because it can be changed into a prime (34400544433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16617586 + ... + 16619655.

It is an arithmetic number, because the mean of its divisors is an integer number (2592504876).

Almost surely, 2^34400544435 is an apocalyptic number.

34400544435 is a deficient number, since it is larger than the sum of its proper divisors (27819572589).

34400544435 is a wasteful number, since it uses less digits than its factorization.

34400544435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33237275 (or 33237272 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 34400544435 in words is "thirty-four billion, four hundred million, five hundred forty-four thousand, four hundred thirty-five".