33398400 has 288 divisors, whose sum is σ = 129768480. Its totient is φ = 7526400.

The previous prime is 33398381. The next prime is 33398411. The reversal of 33398400 is 489333.

It is a happy number.

It is a super-2 number, since 2×33398400² = 2230906245120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470365 + ... + 470435.

It is an arithmetic number, because the mean of its divisors is an integer number (450585).

Almost surely, 2^33398400 is an apocalyptic number.

33398400 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 33398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64884240).

33398400 is an abundant number, since it is smaller than the sum of its proper divisors (96370080).

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

33398400 is a wasteful number, since it uses less digits than its factorization.

33398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 33398400 is about 5779.1348833541. The cubic root of 33398400 is about 322.0390626838.

The spelling of 33398400 in words is "thirty-three million, three hundred ninety-eight thousand, four hundred".