34134151680 has 480 divisors, whose sum is σ = 125992810944. Its totient is φ = 8850456576.

The previous prime is 34134151679. The next prime is 34134151697. The reversal of 34134151680 is 8615143143.

34134151680 is a `hidden beast` number, since 3 + 4 + 134 + 1 + 516 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23016219 + ... + 23017701.

Almost surely, 2^34134151680 is an apocalyptic number.

34134151680 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 34134151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62996405472).

34134151680 is an abundant number, since it is smaller than the sum of its proper divisors (91858659264).

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

34134151680 is an equidigital number, since it uses as much as digits as its factorization.

34134151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 34134151680 in words is "thirty-four billion, one hundred thirty-four million, one hundred fifty-one thousand, six hundred eighty".