33438340 has 48 divisors (see below), whose sum is σ = 76169520. Its totient is φ = 12330240.

The previous prime is 33438313. The next prime is 33438359. The reversal of 33438340 is 4383433.

It can be written as a sum of positive squares in 8 ways, for example, as 32649796 + 788544 = 5714^2 + 888^2 .

It is a super-2 number, since 2×33438340² = 2236245163911200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33438299 and 33438308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43560 + ... + 44320.

It is an arithmetic number, because the mean of its divisors is an integer number (1586865).

Almost surely, 2^33438340 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 33438340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38084760).

33438340 is an abundant number, since it is smaller than the sum of its proper divisors (42731180).

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

33438340 is a wasteful number, since it uses less digits than its factorization.

33438340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 33438340 is about 5782.5893853878. The cubic root of 33438340 is about 322.1673833658.

It can be divided in two parts, 3 and 3438340, that added together give a palindrome (3438343).

The spelling of 33438340 in words is "thirty-three million, four hundred thirty-eight thousand, three hundred forty".