34831368 has 192 divisors, whose sum is σ = 117936000. Its totient is φ = 9123840.

The previous prime is 34831367. The next prime is 34831369. The reversal of 34831368 is 86313843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34831367) and next prime (34831369).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (34831367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174933 + ... + 175131.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^34831368 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 34831368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

34831368 is an abundant number, since it is smaller than the sum of its proper divisors (83104632).

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

34831368 is a wasteful number, since it uses less digits than its factorization.

34831368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 34831368 is about 5901.8105696473. The cubic root of 34831368 is about 326.5804455680.

It can be divided in two parts, 3483 and 1368, that added together give a triangular number (4851 = T₉₈).

The spelling of 34831368 in words is "thirty-four million, eight hundred thirty-one thousand, three hundred sixty-eight".