34375674564 has 360 divisors, whose sum is σ = 113588256320. Its totient is φ = 8873504640.

The previous prime is 34375674547. The next prime is 34375674569. The reversal of 34375674564 is 46547657343.

34375674564 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 5 + 6 + 74 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34375674564.

It is not an unprimeable number, because it can be changed into a prime (34375674569) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 62843739 + ... + 62844285.

Almost surely, 2^34375674564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34375674564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56794128160).

34375674564 is an abundant number, since it is smaller than the sum of its proper divisors (79212581756).

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

34375674564 is a wasteful number, since it uses less digits than its factorization.

34375674564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 799 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 34375674564 in words is "thirty-four billion, three hundred seventy-five million, six hundred seventy-four thousand, five hundred sixty-four".