34720134504 has 96 divisors (see below), whose sum is σ = 96325964640. Its totient is φ = 10342652800.

The previous prime is 34720134497. The next prime is 34720134517. The reversal of 34720134504 is 40543102743.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900094 + ... + 937874.

It is an arithmetic number, because the mean of its divisors is an integer number (1003395465).

Almost surely, 2^34720134504 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 34720134504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48162982320).

34720134504 is an abundant number, since it is smaller than the sum of its proper divisors (61605830136).

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

34720134504 is a wasteful number, since it uses less digits than its factorization.

34720134504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37919 (or 37856 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 34720134504 in words is "thirty-four billion, seven hundred twenty million, one hundred thirty-four thousand, five hundred four".