34343311680 has 168 divisors, whose sum is σ = 124344074400. Its totient is φ = 8676191232.

The previous prime is 34343311663. The next prime is 34343311703. The reversal of 34343311680 is 8611334343.

34343311680 is a `hidden beast` number, since 3 + 434 + 33 + 116 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259090 + ... + 368529.

It is an arithmetic number, because the mean of its divisors is an integer number (740143300).

Almost surely, 2^34343311680 is an apocalyptic number.

34343311680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34343311680 is an abundant number, since it is smaller than the sum of its proper divisors (90000762720).

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

34343311680 is a wasteful number, since it uses less digits than its factorization.

34343311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627661 (or 627648 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34343311680 in words is "thirty-four billion, three hundred forty-three million, three hundred eleven thousand, six hundred eighty".