33436980 has 54 divisors (see below), whose sum is σ = 101661378. Its totient is φ = 8895840.

The previous prime is 33436973. The next prime is 33437051. The reversal of 33436980 is 8963433.

It can be written as a sum of positive squares in only one way, i.e., 26749584 + 6687396 = 5172^2 + 2586^2 .

It is a super-2 number, since 2×33436980² = 2236063263040800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77365 + ... + 77795.

Almost surely, 2^33436980 is an apocalyptic number.

33436980 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 33436980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50830689).

33436980 is an abundant number, since it is smaller than the sum of its proper divisors (68224398).

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

33436980 is a wasteful number, since it uses less digits than its factorization.

33436980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 33436980 is about 5782.4717898145. The cubic root of 33436980 is about 322.1630155894.

The spelling of 33436980 in words is "thirty-three million, four hundred thirty-six thousand, nine hundred eighty".