33975040 has 144 divisors (see below), whose sum is σ = 94187520. Its totient is φ = 11612160.

The previous prime is 33975023. The next prime is 33975043. The reversal of 33975040 is 4057933.

33975040 = T₃₈₅ + T₃₈₆ + ... + T₆₃₈.

It is a junction number, because it is equal to n+sod(n) for n = 33974993 and 33975011.

It is not an unprimeable number, because it can be changed into a prime (33975043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267457 + ... + 267583.

It is an arithmetic number, because the mean of its divisors is an integer number (654080).

Almost surely, 2^33975040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093760).

33975040 is an abundant number, since it is smaller than the sum of its proper divisors (60212480).

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

33975040 is a wasteful number, since it uses less digits than its factorization.

33975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 33975040 is about 5828.8111995500. The cubic root of 33975040 is about 323.8818855143.

The spelling of 33975040 in words is "thirty-three million, nine hundred seventy-five thousand, forty".