34041248390336 has 112 divisors (see below), whose sum is σ = 74387157377280. Its totient is φ = 15327313413120.

The previous prime is 34041248390329. The next prime is 34041248390377. The reversal of 34041248390336 is 63309384214043.

It is a super-2 number, since 2×34041248390336² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302513795 + ... + 302626301.

Almost surely, 2^{34041248390336} 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 34041248390336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37193578688640).

34041248390336 is an abundant number, since it is smaller than the sum of its proper divisors (40345908986944).

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

34041248390336 is a wasteful number, since it uses less digits than its factorization.

34041248390336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116582 (or 116572 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 50.

The spelling of 34041248390336 in words is "thirty-four trillion, forty-one billion, two hundred forty-eight million, three hundred ninety thousand, three hundred thirty-six".