34805237376 has 256 divisors, whose sum is σ = 115939434240. Its totient is φ = 9005727744.

The previous prime is 34805237273. The next prime is 34805237377. The reversal of 34805237376 is 67373250843.

It is a super-2 number, since 2×34805237376² (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 (34805237377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1842636 + ... + 1861428.

It is an arithmetic number, because the mean of its divisors is an integer number (452888415).

Almost surely, 2^34805237376 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 34805237376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57969717120).

34805237376 is an abundant number, since it is smaller than the sum of its proper divisors (81134196864).

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

34805237376 is a wasteful number, since it uses less digits than its factorization.

34805237376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18883 (or 18871 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 34805237376 in words is "thirty-four billion, eight hundred five million, two hundred thirty-seven thousand, three hundred seventy-six".