34678899887643 has 24 divisors (see below), whose sum is σ = 54645876020736. Its totient is φ = 21017385543600.

The previous prime is 34678899887641. The next prime is 34678899887659.

It is a happy number.

34678899887643 is a `hidden beast` number, since 3 + 467 + 8 + 8 + 9 + 9 + 8 + 87 + 64 + 3 = 666.

34678899887643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34678899887643 - 2¹ = 34678899887641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34678899887641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16503246 + ... + 18485532.

It is an arithmetic number, because the mean of its divisors is an integer number (2276911500864).

Almost surely, 2^{34678899887643} is an apocalyptic number.

34678899887643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34678899887643 is a deficient number, since it is larger than the sum of its proper divisors (19966976133093).

34678899887643 is a wasteful number, since it uses less digits than its factorization.

34678899887643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159015 (or 2159012 counting only the distinct ones).

The product of its digits is 84276412416, while the sum is 90.

The spelling of 34678899887643 in words is "thirty-four trillion, six hundred seventy-eight billion, eight hundred ninety-nine million, eight hundred eighty-seven thousand, six hundred forty-three".