34431433344 has 1280 divisors, whose sum is σ = 140758041600. Its totient is φ = 8082063360.

The previous prime is 34431433313. The next prime is 34431433349. The reversal of 34431433344 is 44333413443.

34431433344 is a `hidden beast` number, since 3 + 4 + 4 + 314 + 3 + 334 + 4 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 34431433299 and 34431433308.

It is not an unprimeable number, because it can be changed into a prime (34431433349) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 583583587 + ... + 583583645.

It is an arithmetic number, because the mean of its divisors is an integer number (109967220).

Almost surely, 2^34431433344 is an apocalyptic number.

34431433344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34431433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70379020800).

34431433344 is an abundant number, since it is smaller than the sum of its proper divisors (106326608256).

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

34431433344 is a wasteful number, since it uses less digits than its factorization.

34431433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 34431433344 its reverse (44333413443), we get a palindrome (78764846787).

The spelling of 34431433344 in words is "thirty-four billion, four hundred thirty-one million, four hundred thirty-three thousand, three hundred forty-four".