34135454080 has 768 divisors, whose sum is σ = 109865064960. Its totient is φ = 10032906240.

The previous prime is 34135454077. The next prime is 34135454123. The reversal of 34135454080 is 8045453143.

It is a super-3 number, since 3×34135454080³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 467608924 + ... + 467608996.

It is an arithmetic number, because the mean of its divisors is an integer number (143053470).

Almost surely, 2^34135454080 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 34135454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54932532480).

34135454080 is an abundant number, since it is smaller than the sum of its proper divisors (75729610880).

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

34135454080 is a wasteful number, since it uses less digits than its factorization.

34135454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 34135454080 in words is "thirty-four billion, one hundred thirty-five million, four hundred fifty-four thousand, eighty".