934037305344 has 768 divisors, whose sum is σ = 3422188224000. Its totient is φ = 247478353920.

The previous prime is 934037305343. The next prime is 934037305349. The reversal of 934037305344 is 443503730439.

It is a happy number.

934037305344 is a `hidden beast` number, since 9 + 3 + 40 + 3 + 73 + 0 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 934037305344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (934037305343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150236124 + ... + 150242340.

It is an arithmetic number, because the mean of its divisors is an integer number (4455974250).

Almost surely, 2^934037305344 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 934037305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711094112000).

934037305344 is an abundant number, since it is smaller than the sum of its proper divisors (2488150918656).

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

934037305344 is a wasteful number, since it uses less digits than its factorization.

934037305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6291 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 934037305344 in words is "nine hundred thirty-four billion, thirty-seven million, three hundred five thousand, three hundred forty-four".