34043266234044 has 384 divisors, whose sum is σ = 93021223680000. Its totient is φ = 10754631014400.

The previous prime is 34043266233997. The next prime is 34043266234139. The reversal of 34043266234044 is 44043266234043.

34043266234044 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 3 + 266 + 2 + 340 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48015889962 + ... + 48015890670.

It is an arithmetic number, because the mean of its divisors is an integer number (242242770000).

Almost surely, 2^{34043266234044} 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 34043266234044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46510611840000).

34043266234044 is an abundant number, since it is smaller than the sum of its proper divisors (58977957445956).

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

34043266234044 is a wasteful number, since it uses less digits than its factorization.

34043266234044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 45.

Subtracting 34043266234044 from its reverse (44043266234043), we obtain a palindrome (9999999999999).

The spelling of 34043266234044 in words is "thirty-four trillion, forty-three billion, two hundred sixty-six million, two hundred thirty-four thousand, forty-four".