33412416 has 56 divisors (see below), whose sum is σ = 89330784. Its totient is φ = 11020800.

The previous prime is 33412411. The next prime is 33412427. The reversal of 33412416 is 61421433.

It is a super-2 number, since 2×33412416² = 2232779085914112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33412411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18531 + ... + 20253.

Almost surely, 2^33412416 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 33412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44665392).

33412416 is an abundant number, since it is smaller than the sum of its proper divisors (55918368).

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

33412416 is a wasteful number, since it uses less digits than its factorization.

33412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1829 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 33412416 is about 5780.3473944046. The cubic root of 33412416 is about 322.0841054428.

Adding to 33412416 its reverse (61421433), we get a palindrome (94833849).

The spelling of 33412416 in words is "thirty-three million, four hundred twelve thousand, four hundred sixteen".