33674940 has 216 divisors, whose sum is σ = 117503568. Its totient is φ = 8087040.

The previous prime is 33674929. The next prime is 33674941. The reversal of 33674940 is 4947633.

It is a super-2 number, since 2×33674940² = 2268003168007200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33674895 and 33674904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33674941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 821320 + ... + 821360.

It is an arithmetic number, because the mean of its divisors is an integer number (543998).

Almost surely, 2^33674940 is an apocalyptic number.

33674940 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 33674940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58751784).

33674940 is an abundant number, since it is smaller than the sum of its proper divisors (83828628).

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

33674940 is a wasteful number, since it uses less digits than its factorization.

33674940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 33674940 is about 5803.0112872542. The cubic root of 33674940 is about 322.9254525439.

The spelling of 33674940 in words is "thirty-three million, six hundred seventy-four thousand, nine hundred forty".