34416144 has 160 divisors (see below), whose sum is σ = 119040000. Its totient is φ = 9300096.

The previous prime is 34416131. The next prime is 34416149. The reversal of 34416144 is 44161443.

34416144 is a `hidden beast` number, since 3 + 4 + 41 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (34416149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57157 + ... + 57755.

It is an arithmetic number, because the mean of its divisors is an integer number (744000).

Almost surely, 2^34416144 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 34416144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520000).

34416144 is an abundant number, since it is smaller than the sum of its proper divisors (84623856).

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

34416144 is a wasteful number, since it uses less digits than its factorization.

34416144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 34416144 is about 5866.5274225900. The cubic root of 34416144 is about 325.2775349227.

Adding to 34416144 its reverse (44161443), we get a palindrome (78577587).

The spelling of 34416144 in words is "thirty-four million, four hundred sixteen thousand, one hundred forty-four".