33690936090 has 256 divisors, whose sum is σ = 101443829760. Its totient is φ = 6983331840.

The previous prime is 33690936077. The next prime is 33690936091. The reversal of 33690936090 is 9063909633.

It is a super-2 number, since 2×33690936090² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33690936091) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 32425791 + ... + 32426829.

It is an arithmetic number, because the mean of its divisors is an integer number (396264960).

Almost surely, 2^33690936090 is an apocalyptic number.

33690936090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33690936090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50721914880).

33690936090 is an abundant number, since it is smaller than the sum of its proper divisors (67752893670).

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

33690936090 is a wasteful number, since it uses less digits than its factorization.

33690936090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397.

The product of its (nonzero) digits is 708588, while the sum is 48.

The spelling of 33690936090 in words is "thirty-three billion, six hundred ninety million, nine hundred thirty-six thousand, ninety".