318738935340 has 1152 divisors, whose sum is σ = 1256400617472. Its totient is φ = 63803013120.

The previous prime is 318738935327. The next prime is 318738935369. The reversal of 318738935340 is 43539837813.

318738935340 is a `hidden beast` number, since 3 + 18 + 7 + 3 + 8 + 93 + 534 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1429322469 + ... + 1429322691.

It is an arithmetic number, because the mean of its divisors is an integer number (1090625536).

Almost surely, 2^318738935340 is an apocalyptic number.

318738935340 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 318738935340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628200308736).

318738935340 is an abundant number, since it is smaller than the sum of its proper divisors (937661682132).

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

318738935340 is a wasteful number, since it uses less digits than its factorization.

318738935340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 318738935340 in words is "three hundred eighteen billion, seven hundred thirty-eight million, nine hundred thirty-five thousand, three hundred forty".