34306670736 has 240 divisors, whose sum is σ = 106128998976. Its totient is φ = 10278503424.

The previous prime is 34306670663. The next prime is 34306670743. The reversal of 34306670736 is 63707660343.

It is a junction number, because it is equal to n+sod(n) for n = 34306670691 and 34306670700.

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 47 ways as a sum of consecutive naturals, for example, 45318870 + ... + 45319626.

Almost surely, 2^34306670736 is an apocalyptic number.

34306670736 is a gapful number since it is divisible by the number (36) 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 34306670736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53064499488).

34306670736 is an abundant number, since it is smaller than the sum of its proper divisors (71822328240).

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

34306670736 is a wasteful number, since it uses less digits than its factorization.

34306670736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 34306670736 in words is "thirty-four billion, three hundred six million, six hundred seventy thousand, seven hundred thirty-six".