33874733136 has 120 divisors (see below), whose sum is σ = 90438628224. Its totient is φ = 10925383680.

The previous prime is 33874733093. The next prime is 33874733143. The reversal of 33874733136 is 63133747833.

It is a super-2 number, since 2×33874733136² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12681081 + ... + 12683751.

Almost surely, 2^33874733136 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 33874733136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45219314112).

33874733136 is an abundant number, since it is smaller than the sum of its proper divisors (56563895088).

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

33874733136 is a wasteful number, since it uses less digits than its factorization.

33874733136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2906 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 48.

The spelling of 33874733136 in words is "thirty-three billion, eight hundred seventy-four million, seven hundred thirty-three thousand, one hundred thirty-six".