33774505040 has 80 divisors (see below), whose sum is σ = 79510513680. Its totient is φ = 13341081600.

The previous prime is 33774505033. The next prime is 33774505067. The reversal of 33774505040 is 4050547733.

It can be written as a sum of positive squares in 8 ways, for example, as 7078866496 + 26695638544 = 84136^2 + 163388^2 .

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

It is a super-2 number, since 2×33774505040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33774504985 and 33774505003.

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 15 ways as a sum of consecutive naturals, for example, 3202496 + ... + 3213024.

It is an arithmetic number, because the mean of its divisors is an integer number (993881421).

Almost surely, 2^33774505040 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 33774505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39755256840).

33774505040 is an abundant number, since it is smaller than the sum of its proper divisors (45736008640).

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

33774505040 is a wasteful number, since it uses less digits than its factorization.

33774505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11040 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 38.

The spelling of 33774505040 in words is "thirty-three billion, seven hundred seventy-four million, five hundred five thousand, forty".