34689271680 has 768 divisors, whose sum is σ = 145801166400. Its totient is φ = 7769309184.

The previous prime is 34689271667. The next prime is 34689271699. The reversal of 34689271680 is 8617298643.

34689271680 is a `hidden beast` number, since 3 + 468 + 92 + 7 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44875774 + ... + 44876546.

Almost surely, 2^34689271680 is an apocalyptic number.

34689271680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34689271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72900583200).

34689271680 is an abundant number, since it is smaller than the sum of its proper divisors (111111894720).

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

34689271680 is a wasteful number, since it uses less digits than its factorization.

34689271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 34689271680 in words is "thirty-four billion, six hundred eighty-nine million, two hundred seventy-one thousand, six hundred eighty".