33745980 has 48 divisors (see below), whose sum is σ = 97542144. Its totient is φ = 8708160.

The previous prime is 33745979. The next prime is 33745997. The reversal of 33745980 is 8954733.

It is a super-2 number, since 2×33745980² = 2277582332320800, which contains 22 as substring.

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, 7212 + ... + 10931.

It is an arithmetic number, because the mean of its divisors is an integer number (2032128).

Almost surely, 2^33745980 is an apocalyptic number.

33745980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33745980 is an abundant number, since it is smaller than the sum of its proper divisors (63796164).

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

33745980 is a wasteful number, since it uses less digits than its factorization.

33745980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18186 (or 18184 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 33745980 is about 5809.1290224955. The cubic root of 33745980 is about 323.1523721398.

The spelling of 33745980 in words is "thirty-three million, seven hundred forty-five thousand, nine hundred eighty".