34893647892080 has 40 divisors (see below), whose sum is σ = 81128029124112. Its totient is φ = 13957407926784.

The previous prime is 34893647892073. The next prime is 34893647892083. The reversal of 34893647892080 is 8029874639843.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34893647891995 and 34893647892013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34893647892083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27226652 + ... + 28479428.

Almost surely, 2^{34893647892080} is an apocalyptic number.

It is an amenable number.

34893647892080 is an abundant number, since it is smaller than the sum of its proper divisors (46234381232032).

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

34893647892080 is a wasteful number, since it uses less digits than its factorization.

34893647892080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600953 (or 1600947 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 71.

The spelling of 34893647892080 in words is "thirty-four trillion, eight hundred ninety-three billion, six hundred forty-seven million, eight hundred ninety-two thousand, eighty".