33981480 has 192 divisors, whose sum is σ = 122063760. Its totient is φ = 8146944.

The previous prime is 33981461. The next prime is 33981491. The reversal of 33981480 is 8418933.

It can be written as a sum of positive squares in 8 ways, for example, as 13351716 + 20629764 = 3654^2 + 4542^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247972 + ... + 248108.

Almost surely, 2^33981480 is an apocalyptic number.

33981480 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 33981480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61031880).

33981480 is an abundant number, since it is smaller than the sum of its proper divisors (88082280).

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

33981480 is a wasteful number, since it uses less digits than its factorization.

33981480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 33981480 is about 5829.3636016293. The cubic root of 33981480 is about 323.9023482576.

The spelling of 33981480 in words is "thirty-three million, nine hundred eighty-one thousand, four hundred eighty".