34849150336 has 256 divisors, whose sum is σ = 95747742720. Its totient is φ = 12192768000.

The previous prime is 34849150321. The next prime is 34849150361. The reversal of 34849150336 is 63305194843.

It is a super-3 number, since 3×34849150336³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4737061 + ... + 4744411.

It is an arithmetic number, because the mean of its divisors is an integer number (374014620).

Almost surely, 2^34849150336 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 34849150336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47873871360).

34849150336 is an abundant number, since it is smaller than the sum of its proper divisors (60898592384).

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

34849150336 is a wasteful number, since it uses less digits than its factorization.

34849150336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 34849150336 in words is "thirty-four billion, eight hundred forty-nine million, one hundred fifty thousand, three hundred thirty-six".