34241073984 has 336 divisors, whose sum is σ = 110104186192. Its totient is φ = 10104569856.

The previous prime is 34241073973. The next prime is 34241073989. The reversal of 34241073984 is 48937014243.

It can be written as a sum of positive squares in 8 ways, for example, as 1272384 + 34239801600 = 1128^2 + 185040^2 .

It is a super-2 number, since 2×34241073984² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34241073989) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20224242 + ... + 20225934.

Almost surely, 2^34241073984 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 34241073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55052093096).

34241073984 is an abundant number, since it is smaller than the sum of its proper divisors (75863112208).

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

34241073984 is a wasteful number, since it uses less digits than its factorization.

34241073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34241073984 in words is "thirty-four billion, two hundred forty-one million, seventy-three thousand, nine hundred eighty-four".