33420000000 has 288 divisors, whose sum is σ = 111381746112. Its totient is φ = 8896000000.

The previous prime is 33419999999. The next prime is 33420000007. The reversal of 33420000000 is 2433.

It is a super-2 number, since 2×33420000000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (33420000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59999722 + ... + 60000278.

It is an arithmetic number, because the mean of its divisors is an integer number (386742174).

Almost surely, 2^33420000000 is an apocalyptic number.

33420000000 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 33420000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55690873056).

33420000000 is an abundant number, since it is smaller than the sum of its proper divisors (77961746112).

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

33420000000 is an frugal number, since it uses more digits than its factorization.

33420000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 33420000000 its reverse (2433), we get a palindrome (33420002433).

The spelling of 33420000000 in words is "thirty-three billion, four hundred twenty million", and thus it is an aban number.