34446773088 has 144 divisors (see below), whose sum is σ = 120563797536. Its totient is φ = 9084856320.

The previous prime is 34446773071. The next prime is 34446773089. The reversal of 34446773088 is 88037764443.

34446773088 is a `hidden beast` number, since 34 + 4 + 467 + 73 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34446773088² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34446773089) 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, 630973 + ... + 683388.

It is an arithmetic number, because the mean of its divisors is an integer number (837248594).

Almost surely, 2^34446773088 is an apocalyptic number.

It is an amenable number.

34446773088 is an abundant number, since it is smaller than the sum of its proper divisors (86117024448).

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

34446773088 is a wasteful number, since it uses less digits than its factorization.

34446773088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314397 (or 1314386 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 34446773088 in words is "thirty-four billion, four hundred forty-six million, seven hundred seventy-three thousand, eighty-eight".