34867719441 has 27 divisors (see below), whose sum is σ = 51182506011. Its totient is φ = 22873555584.

The previous prime is 34867719409. The next prime is 34867719443. The reversal of 34867719441 is 14491776843.

It is a happy number.

The square root of 34867719441 is 186729.

It is a perfect power (a square), and thus also a powerful number.

34867719441 is a `hidden beast` number, since 3 + 486 + 7 + 71 + 94 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 672313041 + 34195406400 = 25929^2 + 184920^2 .

It is not a de Polignac number, because 34867719441 - 2⁵ = 34867719409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34867719443) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37532065 + ... + 37532993.

Almost surely, 2^34867719441 is an apocalyptic number.

34867719441 is the 186729-th square number.

34867719441 is the 93365-th centered octagonal number.

It is an amenable number.

34867719441 is a deficient number, since it is larger than the sum of its proper divisors (16314786570).

34867719441 is an frugal number, since it uses more digits than its factorization.

34867719441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 999 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 34867719441 in words is "thirty-four billion, eight hundred sixty-seven million, seven hundred nineteen thousand, four hundred forty-one".