33906808320 has 480 divisors, whose sum is σ = 137572909056. Its totient is φ = 7044710400.

The previous prime is 33906808303. The next prime is 33906808333. The reversal of 33906808320 is 2380860933.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×33906808320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4135425 + ... + 4143615.

Almost surely, 2^33906808320 is an apocalyptic number.

33906808320 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 33906808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68786454528).

33906808320 is an abundant number, since it is smaller than the sum of its proper divisors (103666100736).

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

33906808320 is a wasteful number, since it uses less digits than its factorization.

33906808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 33906808320 in words is "thirty-three billion, nine hundred six million, eight hundred eight thousand, three hundred twenty".