33733980 has 144 divisors (see below), whose sum is σ = 119980224. Its totient is φ = 7511040.

The previous prime is 33733979. The next prime is 33733993. The reversal of 33733980 is 8933733.

It is a happy number.

It is a super-2 number, since 2×33733980² = 2275962813280800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 51334 + ... + 51986.

It is an arithmetic number, because the mean of its divisors is an integer number (833196).

Almost surely, 2^33733980 is an apocalyptic number.

33733980 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 33733980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59990112).

33733980 is an abundant number, since it is smaller than the sum of its proper divisors (86246244).

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

33733980 is a wasteful number, since it uses less digits than its factorization.

33733980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 33733980 is about 5808.0960735856. The cubic root of 33733980 is about 323.1140634958.

The spelling of 33733980 in words is "thirty-three million, seven hundred thirty-three thousand, nine hundred eighty".