33688430380 has 72 divisors (see below), whose sum is σ = 77814231264. Its totient is φ = 12242081280.

The previous prime is 33688430371. The next prime is 33688430387. The reversal of 33688430380 is 8303488633.

It is a happy number.

It is a super-2 number, since 2×33688430380² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33688430380.

It is not an unprimeable number, because it can be changed into a prime (33688430387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4465972 + ... + 4473508.

It is an arithmetic number, because the mean of its divisors is an integer number (1080753212).

Almost surely, 2^33688430380 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 33688430380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38907115632).

33688430380 is an abundant number, since it is smaller than the sum of its proper divisors (44125800884).

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

33688430380 is a wasteful number, since it uses less digits than its factorization.

33688430380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9415 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 33688430380 in words is "thirty-three billion, six hundred eighty-eight million, four hundred thirty thousand, three hundred eighty".