34729157136 has 80 divisors (see below), whose sum is σ = 90952392960. Its totient is φ = 11417303040.

The previous prime is 34729157093. The next prime is 34729157137. The reversal of 34729157136 is 63175192743.

It is a happy number.

It is a super-2 number, since 2×34729157136² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (34729157137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3836776 + ... + 3845816.

It is an arithmetic number, because the mean of its divisors is an integer number (1136904912).

Almost surely, 2^34729157136 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 34729157136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45476196480).

34729157136 is an abundant number, since it is smaller than the sum of its proper divisors (56223235824).

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

34729157136 is a wasteful number, since it uses less digits than its factorization.

34729157136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10144 (or 10138 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The spelling of 34729157136 in words is "thirty-four billion, seven hundred twenty-nine million, one hundred fifty-seven thousand, one hundred thirty-six".