312434342640 has 320 divisors, whose sum is σ = 1234592409600. Its totient is φ = 71141124096.

The previous prime is 312434342617. The next prime is 312434342813. The reversal of 312434342640 is 46243434213.

312434342640 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 3 + 4 + 3 + 4 + 2 + 640 = 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 = 312434342595 and 312434342604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3937276 + ... + 4015844.

It is an arithmetic number, because the mean of its divisors is an integer number (3858101280).

Almost surely, 2^312434342640 is an apocalyptic number.

312434342640 is a gapful number since it is divisible by the number (30) 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 312434342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617296204800).

312434342640 is an abundant number, since it is smaller than the sum of its proper divisors (922158066960).

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

312434342640 is a wasteful number, since it uses less digits than its factorization.

312434342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78861 (or 78849 counting only the distinct ones).

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

Adding to 312434342640 its reverse (46243434213), we get a palindrome (358677776853).

The spelling of 312434342640 in words is "three hundred twelve billion, four hundred thirty-four million, three hundred forty-two thousand, six hundred forty".