33400416 has 96 divisors (see below), whose sum is σ = 104606208. Its totient is φ = 9123840.

The previous prime is 33400403. The next prime is 33400417. The reversal of 33400416 is 61400433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33400416² = 2231175577946112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 33400392 and 33400401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33400417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14376 + ... + 16536.

It is an arithmetic number, because the mean of its divisors is an integer number (1089648).

Almost surely, 2^33400416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52303104).

33400416 is an abundant number, since it is smaller than the sum of its proper divisors (71205792).

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

33400416 is a wasteful number, since it uses less digits than its factorization.

33400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33400416 is about 5779.3093012920. The cubic root of 33400416 is about 322.0455422127.

Adding to 33400416 its reverse (61400433), we get a palindrome (94800849).

The spelling of 33400416 in words is "thirty-three million, four hundred thousand, four hundred sixteen".