33400992 has 48 divisors (see below), whose sum is σ = 88482240. Its totient is φ = 11031552.

The previous prime is 33400957. The next prime is 33400999. The reversal of 33400992 is 29900433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33400992² = 2231252533168128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33400999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9309 + ... + 12387.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 2^33400992 is an apocalyptic number.

33400992 is a gapful number since it is divisible by the number (32) 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 33400992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44241120).

33400992 is an abundant number, since it is smaller than the sum of its proper divisors (55081248).

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

33400992 is a wasteful number, since it uses less digits than its factorization.

33400992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 33400992 is about 5779.3591340217. The cubic root of 33400992 is about 322.0473934587.

The spelling of 33400992 in words is "thirty-three million, four hundred thousand, nine hundred ninety-two".