33798240000 has 810 divisors, whose sum is σ = 141948686880. Its totient is φ = 7709184000.

The previous prime is 33798239987. The next prime is 33798240001. The reversal of 33798240000 is 4289733.

It is a super-2 number, since 2×33798240000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33798240001) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 70559761 + ... + 70560239.

Almost surely, 2^33798240000 is an apocalyptic number.

33798240000 is a gapful number since it is divisible by the number (30) 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 33798240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70974343440).

33798240000 is an abundant number, since it is smaller than the sum of its proper divisors (108150446880).

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

33798240000 is an equidigital number, since it uses as much as digits as its factorization.

33798240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 33798240000 in words is "thirty-three billion, seven hundred ninety-eight million, two hundred forty thousand".