33971040 has 144 divisors (see below), whose sum is σ = 119822976. Its totient is φ = 8755200.

The previous prime is 33971017. The next prime is 33971053. The reversal of 33971040 is 4017933.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 33970995 and 33971013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44260 + ... + 45020.

It is an arithmetic number, because the mean of its divisors is an integer number (832104).

Almost surely, 2^33971040 is an apocalyptic number.

33971040 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 33971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

33971040 is an abundant number, since it is smaller than the sum of its proper divisors (85851936).

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

33971040 is a wasteful number, since it uses less digits than its factorization.

33971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 33971040 is about 5828.4680663104. The cubic root of 33971040 is about 323.8691744340.

Adding to 33971040 its reverse (4017933), we get a palindrome (37988973).

The spelling of 33971040 in words is "thirty-three million, nine hundred seventy-one thousand, forty".