34102400635435 has 32 divisors (see below), whose sum is σ = 45945409897728. Its totient is φ = 24084932161920.

The previous prime is 34102400635361. The next prime is 34102400635559. The reversal of 34102400635435 is 53453600420143.

It is not a de Polignac number, because 34102400635435 - 2⁷ = 34102400635307 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41266057 + ... + 42084346.

It is an arithmetic number, because the mean of its divisors is an integer number (1435794059304).

Almost surely, 2^{34102400635435} is an apocalyptic number.

34102400635435 is a deficient number, since it is larger than the sum of its proper divisors (11843009262293).

34102400635435 is a wasteful number, since it uses less digits than its factorization.

34102400635435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83350635.

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 34102400635435 in words is "thirty-four trillion, one hundred two billion, four hundred million, six hundred thirty-five thousand, four hundred thirty-five".