33971340 has 96 divisors (see below), whose sum is σ = 103723200. Its totient is φ = 8257536.

The previous prime is 33971309. The next prime is 33971341. The reversal of 33971340 is 4317933.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33971298 and 33971307.

It is not an unprimeable number, because it can be changed into a prime (33971341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75436 + ... + 75884.

It is an arithmetic number, because the mean of its divisors is an integer number (1080450).

Almost surely, 2^33971340 is an apocalyptic number.

33971340 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 33971340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51861600).

33971340 is an abundant number, since it is smaller than the sum of its proper divisors (69751860).

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

33971340 is a wasteful number, since it uses less digits than its factorization.

33971340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 33971340 is about 5828.4938020041. The cubic root of 33971340 is about 323.8701277996.

The spelling of 33971340 in words is "thirty-three million, nine hundred seventy-one thousand, three hundred forty".