33396840 has 192 divisors, whose sum is σ = 119361600. Its totient is φ = 8303616.

The previous prime is 33396833. The next prime is 33396859. The reversal of 33396840 is 4869333.

It is a Cunningham number, because it is equal to 5779²-1.

It is a super-2 number, since 2×33396840² = 2230697843971200, 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 = 33396795 and 33396804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312067 + ... + 312173.

It is an arithmetic number, because the mean of its divisors is an integer number (621675).

Almost surely, 2^33396840 is an apocalyptic number.

33396840 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 33396840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59680800).

33396840 is an abundant number, since it is smaller than the sum of its proper divisors (85964760).

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

33396840 is a wasteful number, since it uses less digits than its factorization.

33396840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 33396840 is about 5778.9999134798. Note that the first 4 decimals coincide. The cubic root of 33396840 is about 322.0340485837.

The spelling of 33396840 in words is "thirty-three million, three hundred ninety-six thousand, eight hundred forty".