33381480 has 160 divisors (see below), whose sum is σ = 115956000. Its totient is φ = 7666560.

The previous prime is 33381479. The next prime is 33381493. The reversal of 33381480 is 8418333.

It is a super-2 number, since 2×33381480² = 2228646413980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1756911 + ... + 1756929.

It is an arithmetic number, because the mean of its divisors is an integer number (724725).

Almost surely, 2^33381480 is an apocalyptic number.

33381480 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 33381480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57978000).

33381480 is an abundant number, since it is smaller than the sum of its proper divisors (82574520).

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

33381480 is a wasteful number, since it uses less digits than its factorization.

33381480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 33381480 is about 5777.6708109756. The cubic root of 33381480 is about 321.9846706435.

The spelling of 33381480 in words is "thirty-three million, three hundred eighty-one thousand, four hundred eighty".