33966961038 has 160 divisors (see below), whose sum is σ = 79588510848. Its totient is φ = 10818360000.

The previous prime is 33966961019. The next prime is 33966961073. The reversal of 33966961038 is 83016966933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

33966961038 is a modest number, since divided by 961038 gives 33966 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135326413 + ... + 135326663.

Almost surely, 2^33966961038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33966961038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39794255424).

33966961038 is an abundant number, since it is smaller than the sum of its proper divisors (45621549810).

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

33966961038 is a wasteful number, since it uses less digits than its factorization.

33966961038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 33966961038 in words is "thirty-three billion, nine hundred sixty-six million, nine hundred sixty-one thousand, thirty-eight".