34123671696480 has 192 divisors, whose sum is σ = 107910413956800. Its totient is φ = 9064041512960.

The previous prime is 34123671696479. The next prime is 34123671696563. The reversal of 34123671696480 is 8469617632143.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392322436 + ... + 392409404.

It is an arithmetic number, because the mean of its divisors is an integer number (562033406025).

Almost surely, 2^{34123671696480} is an apocalyptic number.

34123671696480 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 34123671696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53955206978400).

34123671696480 is an abundant number, since it is smaller than the sum of its proper divisors (73786742260320).

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

34123671696480 is a wasteful number, since it uses less digits than its factorization.

34123671696480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90177 (or 90169 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 34123671696480 in words is "thirty-four trillion, one hundred twenty-three billion, six hundred seventy-one million, six hundred ninety-six thousand, four hundred eighty".