33830950100672 has 112 divisors (see below), whose sum is σ = 71301700322400. Its totient is φ = 15881208053760.

The previous prime is 33830950100639. The next prime is 33830950100681. The reversal of 33830950100672 is 27600105903833.

It is a super-2 number, since 2×33830950100672² (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, 1492376954 + ... + 1492399622.

Almost surely, 2^{33830950100672} is an apocalyptic number.

33830950100672 is a gapful number since it is divisible by the number (32) 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 33830950100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35650850161200).

33830950100672 is an abundant number, since it is smaller than the sum of its proper divisors (37470750221728).

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

33830950100672 is a wasteful number, since it uses less digits than its factorization.

33830950100672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33674 (or 33664 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 33830950100672 in words is "thirty-three trillion, eight hundred thirty billion, nine hundred fifty million, one hundred thousand, six hundred seventy-two".