34989318144 has 448 divisors, whose sum is σ = 115220983680. Its totient is φ = 10404495360.

The previous prime is 34989318113. The next prime is 34989318149. The reversal of 34989318144 is 44181398943.

34989318144 is a `hidden beast` number, since 3 + 498 + 9 + 3 + 1 + 8 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (34989318149) 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, 177610654 + ... + 177610850.

Almost surely, 2^34989318144 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 34989318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57610491840).

34989318144 is an abundant number, since it is smaller than the sum of its proper divisors (80231665536).

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

34989318144 is a wasteful number, since it uses less digits than its factorization.

34989318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 34989318144 in words is "thirty-four billion, nine hundred eighty-nine million, three hundred eighteen thousand, one hundred forty-four".