34249464144 has 960 divisors, whose sum is σ = 129191731200. Its totient is φ = 8622028800.

The previous prime is 34249464131. The next prime is 34249464167. The reversal of 34249464144 is 44146494243.

34249464144 is a `hidden beast` number, since 3 + 4 + 2 + 49 + 464 + 144 = 666.

It is a super-2 number, since 2×34249464144² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34249464144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 511185999 + ... + 511186065.

It is an arithmetic number, because the mean of its divisors is an integer number (134574720).

Almost surely, 2^34249464144 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 34249464144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64595865600).

34249464144 is an abundant number, since it is smaller than the sum of its proper divisors (94942267056).

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

34249464144 is a wasteful number, since it uses less digits than its factorization.

34249464144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 34249464144 in words is "thirty-four billion, two hundred forty-nine million, four hundred sixty-four thousand, one hundred forty-four".