33402720 has 192 divisors, whose sum is σ = 116593344. Its totient is φ = 7987200.

The previous prime is 33402713. The next prime is 33402727. The reversal of 33402720 is 2720433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33402713) and next prime (33402727).

It is a super-2 number, since 2×33402720² = 2231483406796800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33402727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330670 + ... + 330770.

It is an arithmetic number, because the mean of its divisors is an integer number (607257).

Almost surely, 2^33402720 is an apocalyptic number.

33402720 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 33402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58296672).

33402720 is an abundant number, since it is smaller than the sum of its proper divisors (83190624).

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

33402720 is a wasteful number, since it uses less digits than its factorization.

33402720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 33402720 is about 5779.5086296328. The cubic root of 33402720 is about 322.0529470692.

It can be divided in two parts, 33 and 402720, that added together give a triangular number (402753 = T₈₉₇).

The spelling of 33402720 in words is "thirty-three million, four hundred two thousand, seven hundred twenty".