33434142320 has 80 divisors (see below), whose sum is σ = 80294360832. Its totient is φ = 12933795840.

The previous prime is 33434142193. The next prime is 33434142341. The reversal of 33434142320 is 2324143433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33434142320² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 4889624 + ... + 4896456.

Almost surely, 2^33434142320 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 33434142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40147180416).

33434142320 is an abundant number, since it is smaller than the sum of its proper divisors (46860218512).

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

33434142320 is a wasteful number, since it uses less digits than its factorization.

33434142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8850 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 33434142320 its reverse (2324143433), we get a palindrome (35758285753).

The spelling of 33434142320 in words is "thirty-three billion, four hundred thirty-four million, one hundred forty-two thousand, three hundred twenty".