934342456320 has 2112 divisors, whose sum is σ = 4358180252160. Its totient is φ = 184817811456.

The previous prime is 934342456283. The next prime is 934342456343. The reversal of 934342456320 is 23654243439.

934342456320 is a `hidden beast` number, since 9 + 3 + 4 + 3 + 4 + 2 + 4 + 5 + 632 + 0 = 666.

It is a super-2 number, since 2×934342456320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3635573632 + ... + 3635573888.

Almost surely, 2^934342456320 is an apocalyptic number.

934342456320 is a gapful number since it is divisible by the number (90) 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 934342456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179090126080).

934342456320 is an abundant number, since it is smaller than the sum of its proper divisors (3423837795840).

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

934342456320 is a wasteful number, since it uses less digits than its factorization.

934342456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

Adding to 934342456320 its reverse (23654243439), we get a palindrome (957996699759).

The spelling of 934342456320 in words is "nine hundred thirty-four billion, three hundred forty-two million, four hundred fifty-six thousand, three hundred twenty".