33377980 has 48 divisors (see below), whose sum is σ = 72182880. Its totient is φ = 12960000.

The previous prime is 33377963. The next prime is 33377983. The reversal of 33377980 is 8977333.

It is a super-2 number, since 2×33377980² = 2228179097760800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33377983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132855 + ... + 133105.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 2^33377980 is an apocalyptic number.

It is an amenable number.

33377980 is an abundant number, since it is smaller than the sum of its proper divisors (38804900).

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

33377980 is a wasteful number, since it uses less digits than its factorization.

33377980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 33377980 is about 5777.3679128129. The cubic root of 33377980 is about 321.9734170409.

The spelling of 33377980 in words is "thirty-three million, three hundred seventy-seven thousand, nine hundred eighty".