33434370072 has 288 divisors, whose sum is σ = 101865254400. Its totient is φ = 9874237824.

The previous prime is 33434370071. The next prime is 33434370121. The reversal of 33434370072 is 27007343433.

It is a super-2 number, since 2×33434370072² (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 (33434370071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34012093 + ... + 34013075.

It is an arithmetic number, because the mean of its divisors is an integer number (353698800).

Almost surely, 2^33434370072 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 33434370072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50932627200).

33434370072 is an abundant number, since it is smaller than the sum of its proper divisors (68430884328).

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

33434370072 is a wasteful number, since it uses less digits than its factorization.

33434370072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 36.

The spelling of 33434370072 in words is "thirty-three billion, four hundred thirty-four million, three hundred seventy thousand, seventy-two".