34513777728 has 56 divisors (see below), whose sum is σ = 101464120160. Its totient is φ = 11504592000.

The previous prime is 34513777721. The next prime is 34513777729. The reversal of 34513777728 is 82777731543.

34513777728 is a `hidden beast` number, since 34 + 513 + 7 + 7 + 77 + 28 = 666.

It is a super-3 number, since 3×34513777728³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34513777721) 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, 9984898 + ... + 9988353.

Almost surely, 2^34513777728 is an apocalyptic number.

It is an amenable number.

34513777728 is an abundant number, since it is smaller than the sum of its proper divisors (66950342432).

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

34513777728 is a wasteful number, since it uses less digits than its factorization.

34513777728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19973272 (or 19973256 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The spelling of 34513777728 in words is "thirty-four billion, five hundred thirteen million, seven hundred seventy-seven thousand, seven hundred twenty-eight".