34135250774000 has 160 divisors (see below), whose sum is σ = 90660728770560. Its totient is φ = 12373051680000.

The previous prime is 34135250773999. The next prime is 34135250774017. The reversal of 34135250774000 is 47705253143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18654176 + ... + 20402175.

It is an arithmetic number, because the mean of its divisors is an integer number (566629554816).

Almost surely, 2^{34135250774000} is an apocalyptic number.

It is an amenable number.

34135250774000 is an abundant number, since it is smaller than the sum of its proper divisors (56525477996560).

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

34135250774000 is a wasteful number, since it uses less digits than its factorization.

34135250774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39056416 (or 39056400 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 41.

The spelling of 34135250774000 in words is "thirty-four trillion, one hundred thirty-five billion, two hundred fifty million, seven hundred seventy-four thousand".