34797877879743 has 24 divisors (see below), whose sum is σ = 56314993200336. Its totient is φ = 20519633145600.

The previous prime is 34797877879733. The next prime is 34797877879757.

34797877879743 is a `hidden beast` number, since 3 + 479 + 7 + 8 + 7 + 7 + 8 + 7 + 97 + 43 = 666.

34797877879743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34797877879743 - 2⁵ = 34797877879711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34797877879733) 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, 4749911418 + ... + 4749918743.

It is an arithmetic number, because the mean of its divisors is an integer number (2346458050014).

Almost surely, 2^{34797877879743} is an apocalyptic number.

34797877879743 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34797877879743 is a deficient number, since it is larger than the sum of its proper divisors (21517115320593).

34797877879743 is a wasteful number, since it uses less digits than its factorization.

34797877879743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9499830215 (or 9499830212 counting only the distinct ones).

The product of its digits is 87824507904, while the sum is 90.

The spelling of 34797877879743 in words is "thirty-four trillion, seven hundred ninety-seven billion, eight hundred seventy-seven million, eight hundred seventy-nine thousand, seven hundred forty-three".