33402420 has 36 divisors (see below), whose sum is σ = 101321220. Its totient is φ = 8907264.

The previous prime is 33402409. The next prime is 33402427. The reversal of 33402420 is 2420433.

It can be written as a sum of positive squares in 2 ways, for example, as 10419984 + 22982436 = 3228^2 + 4794^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33402420² = 2231443323712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33402393 and 33402402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33402427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92605 + ... + 92964.

Almost surely, 2^33402420 is an apocalyptic number.

33402420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33402420 is an abundant number, since it is smaller than the sum of its proper divisors (67918800).

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

33402420 is a wasteful number, since it uses less digits than its factorization.

33402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185584 (or 185579 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 33402420 is about 5779.4826758110. The cubic root of 33402420 is about 322.0519829145.

Adding to 33402420 its reverse (2420433), we get a palindrome (35822853).

The spelling of 33402420 in words is "thirty-three million, four hundred two thousand, four hundred twenty".