1033338880 has 256 divisors, whose sum is σ = 3057600960. Its totient is φ = 327155712.

The previous prime is 1033338877. The next prime is 1033338907. The reversal of 1033338880 is 888333301.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19496934 + ... + 19496986.

Almost surely, 2^1033338880 is an apocalyptic number.

1033338880 is a gapful number since it is divisible by the number (10) 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 1033338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528800480).

1033338880 is an abundant number, since it is smaller than the sum of its proper divisors (2024262080).

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

1033338880 is an frugal number, since it uses more digits than its factorization.

1033338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 1033338880 is about 32145.5888109084. The cubic root of 1033338880 is about 1010.9916998708.

The spelling of 1033338880 in words is "one billion, thirty-three million, three hundred thirty-eight thousand, eight hundred eighty".