33280441920 has 448 divisors, whose sum is σ = 128699239680. Its totient is φ = 8028979200.

The previous prime is 33280441913. The next prime is 33280441937. The reversal of 33280441920 is 2914408233.

It is a super-2 number, since 2×33280441920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22903914 + ... + 22905366.

Almost surely, 2^33280441920 is an apocalyptic number.

33280441920 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 33280441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64349619840).

33280441920 is an abundant number, since it is smaller than the sum of its proper divisors (95418797760).

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

33280441920 is a wasteful number, since it uses less digits than its factorization.

33280441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 33280441 and 920, that added together give a square (33281361 = 5769²).

The spelling of 33280441920 in words is "thirty-three billion, two hundred eighty million, four hundred forty-one thousand, nine hundred twenty".