33798842880 has 480 divisors, whose sum is σ = 122100435072. Its totient is φ = 7964098560.

The previous prime is 33798842879. The next prime is 33798842897. The reversal of 33798842880 is 8824889733.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×33798842880² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34382869 + ... + 34383851.

Almost surely, 2^33798842880 is an apocalyptic number.

33798842880 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 33798842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61050217536).

33798842880 is an abundant number, since it is smaller than the sum of its proper divisors (88301592192).

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

33798842880 is a wasteful number, since it uses less digits than its factorization.

33798842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

It can be divided in two parts, 33798 and 842880, that added together give a palindrome (876678).

The spelling of 33798842880 in words is "thirty-three billion, seven hundred ninety-eight million, eight hundred forty-two thousand, eight hundred eighty".