33642440 has 64 divisors (see below), whose sum is σ = 84188160. Its totient is φ = 12015360.

The previous prime is 33642437. The next prime is 33642443. The reversal of 33642440 is 4424633.

It is an interprime number because it is at equal distance from previous prime (33642437) and next prime (33642443).

It is a super-2 number, since 2×33642440² = 2263627538307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (33642443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15077 + ... + 17163.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 2^33642440 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 33642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42094080).

33642440 is an abundant number, since it is smaller than the sum of its proper divisors (50545720).

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

33642440 is a wasteful number, since it uses less digits than its factorization.

33642440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 33642440 is about 5800.2103410135. The cubic root of 33642440 is about 322.8215329792.

The spelling of 33642440 in words is "thirty-three million, six hundred forty-two thousand, four hundred forty".