33744174072 has 128 divisors (see below), whose sum is σ = 102438950400. Its totient is φ = 9073841664.

The previous prime is 33744174067. The next prime is 33744174073. The reversal of 33744174072 is 27047144733.

It is a super-2 number, since 2×33744174072² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33744174073) 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, 804943 + ... + 845825.

It is an arithmetic number, because the mean of its divisors is an integer number (800304300).

Almost surely, 2^33744174072 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 33744174072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51219475200).

33744174072 is an abundant number, since it is smaller than the sum of its proper divisors (68694776328).

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

33744174072 is a wasteful number, since it uses less digits than its factorization.

33744174072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40950 (or 40912 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 33744174072 in words is "thirty-three billion, seven hundred forty-four million, one hundred seventy-four thousand, seventy-two".