33388986672 has 200 divisors, whose sum is σ = 105233554800. Its totient is φ = 10180090368.

The previous prime is 33388986671. The next prime is 33388986721. The reversal of 33388986672 is 27668988333.

It is a super-2 number, since 2×33388986672² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33388986671) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 690718 + ... + 737474.

It is an arithmetic number, because the mean of its divisors is an integer number (526167774).

Almost surely, 2^33388986672 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 33388986672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52616777400).

33388986672 is an abundant number, since it is smaller than the sum of its proper divisors (71844568128).

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

33388986672 is a wasteful number, since it uses less digits than its factorization.

33388986672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46825 (or 46810 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 33388986672 in words is "thirty-three billion, three hundred eighty-eight million, nine hundred eighty-six thousand, six hundred seventy-two".