34736013377 has 8 divisors (see below), whose sum is σ = 37597905576. Its totient is φ = 31901248512.

The previous prime is 34736013353. The next prime is 34736013379. The reversal of 34736013377 is 77331063743.

It is a happy number.

It is a Cunningham number, because it is equal to 186376²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 2162622016 + 32573391361 = 46504^2 + 180481^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34736013377 - 2⁸ = 34736013121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34736013379) 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, 6779168 + ... + 6784289.

It is an arithmetic number, because the mean of its divisors is an integer number (4699738197).

Almost surely, 2^34736013377 is an apocalyptic number.

It is an amenable number.

34736013377 is a deficient number, since it is larger than the sum of its proper divisors (2861892199).

34736013377 is a wasteful number, since it uses less digits than its factorization.

34736013377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13563667.

The product of its (nonzero) digits is 666792, while the sum is 44.

The spelling of 34736013377 in words is "thirty-four billion, seven hundred thirty-six million, thirteen thousand, three hundred seventy-seven".