34657134680 has 192 divisors, whose sum is σ = 94950662400. Its totient is φ = 11121027840.

The previous prime is 34657134641. The next prime is 34657134683. The reversal of 34657134680 is 8643175643.

It is a super-2 number, since 2×34657134680² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34657134683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155413049 + ... + 155413271.

It is an arithmetic number, because the mean of its divisors is an integer number (494534700).

Almost surely, 2^34657134680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34657134680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47475331200).

34657134680 is an abundant number, since it is smaller than the sum of its proper divisors (60293527720).

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

34657134680 is a wasteful number, since it uses less digits than its factorization.

34657134680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 34657134680 in words is "thirty-four billion, six hundred fifty-seven million, one hundred thirty-four thousand, six hundred eighty".