33838250000 has 70 divisors (see below), whose sum is σ = 81951568194. Its totient is φ = 13535200000.

The previous prime is 33838249967. The next prime is 33838250009. The reversal of 33838250000 is 5283833.

It can be written as a sum of positive squares in 7 ways, for example, as 33697210624 + 141039376 = 183568^2 + 11876^2 .

It is a super-2 number, since 2×33838250000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33838250009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 182324 + ... + 317676.

Almost surely, 2^33838250000 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 33838250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40975784097).

33838250000 is an abundant number, since it is smaller than the sum of its proper divisors (48113318194).

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

33838250000 is an frugal number, since it uses more digits than its factorization.

33838250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135391 (or 135360 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 33838250000 in words is "thirty-three billion, eight hundred thirty-eight million, two hundred fifty thousand".