34313045004 has 288 divisors, whose sum is σ = 107625563136. Its totient is φ = 8995553280.

The previous prime is 34313044999. The next prime is 34313045033. The reversal of 34313045004 is 40054031343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29503327 + ... + 29504489.

It is an arithmetic number, because the mean of its divisors is an integer number (373699872).

Almost surely, 2^34313045004 is an apocalyptic number.

34313045004 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 34313045004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53812781568).

34313045004 is an abundant number, since it is smaller than the sum of its proper divisors (73312518132).

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

34313045004 is a wasteful number, since it uses less digits than its factorization.

34313045004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34313045004 its reverse (40054031343), we get a palindrome (74367076347).

The spelling of 34313045004 in words is "thirty-four billion, three hundred thirteen million, forty-five thousand, four".