33688640700 has 216 divisors, whose sum is σ = 124056341136. Its totient is φ = 7538688000.

The previous prime is 33688640659. The next prime is 33688640701. The reversal of 33688640700 is 704688633.

It is a super-2 number, since 2×33688640700² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33688640701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2181 + ... + 259580.

Almost surely, 2^33688640700 is an apocalyptic number.

33688640700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33688640700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62028170568).

33688640700 is an abundant number, since it is smaller than the sum of its proper divisors (90367700436).

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

33688640700 is a wasteful number, since it uses less digits than its factorization.

33688640700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261805 (or 261795 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 33688640700 in words is "thirty-three billion, six hundred eighty-eight million, six hundred forty thousand, seven hundred".