33780940100 has 36 divisors (see below), whose sum is σ = 73322054484. Its totient is φ = 13509166080.

The previous prime is 33780940099. The next prime is 33780940133. The reversal of 33780940100 is 104908733.

It can be written as a sum of positive squares in 6 ways, for example, as 517016644 + 33263923456 = 22738^2 + 182384^2 .

It is a super-2 number, since 2×33780940100² (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 407804 + ... + 483596.

Almost surely, 2^33780940100 is an apocalyptic number.

It is an amenable number.

33780940100 is an abundant number, since it is smaller than the sum of its proper divisors (39541114384).

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

33780940100 is a wasteful number, since it uses less digits than its factorization.

33780940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80264 (or 80257 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 33780940100 in words is "thirty-three billion, seven hundred eighty million, nine hundred forty thousand, one hundred".