33290400 has 288 divisors, whose sum is σ = 128616768. Its totient is φ = 7372800.

The previous prime is 33290399. The next prime is 33290423. The reversal of 33290400 is 409233.

It is a super-2 number, since 2×33290400² = 2216501464320000, which contains 22 as substring.

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, 343152 + ... + 343248.

It is an arithmetic number, because the mean of its divisors is an integer number (446586).

Almost surely, 2^33290400 is an apocalyptic number.

33290400 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 33290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64308384).

33290400 is an abundant number, since it is smaller than the sum of its proper divisors (95326368).

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

33290400 is a wasteful number, since it uses less digits than its factorization.

33290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 33290400 is about 5769.7833581513. The cubic root of 33290400 is about 321.6915632455.

Adding to 33290400 its reverse (409233), we get a palindrome (33699633).

The spelling of 33290400 in words is "thirty-three million, two hundred ninety thousand, four hundred".