34003432114344 has 384 divisors, whose sum is σ = 119860920391680. Its totient is φ = 8444383833600.

The previous prime is 34003432114319. The next prime is 34003432114381. The reversal of 34003432114344 is 44341123430043.

34003432114344 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 3 + 4 + 3 + 211 + 434 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34003432114299 and 34003432114308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299213854 + ... + 299327474.

It is an arithmetic number, because the mean of its divisors is an integer number (312137813520).

Almost surely, 2^{34003432114344} 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 34003432114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59930460195840).

34003432114344 is an abundant number, since it is smaller than the sum of its proper divisors (85857488277336).

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

34003432114344 is a wasteful number, since it uses less digits than its factorization.

34003432114344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116021 (or 116014 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 34003432114344 its reverse (44341123430043), we get a palindrome (78344555544387).

The spelling of 34003432114344 in words is "thirty-four trillion, three billion, four hundred thirty-two million, one hundred fourteen thousand, three hundred forty-four".