312050351340 has 1536 divisors, whose sum is σ = 1341204480000. Its totient is φ = 58334183424.

The previous prime is 312050351329. The next prime is 312050351399. The reversal of 312050351340 is 43153050213.

312050351340 is a `hidden beast` number, since 3 + 1 + 20 + 503 + 5 + 134 + 0 = 666.

It is a super-3 number, since 3×312050351340³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2094297586 + ... + 2094297734.

It is an arithmetic number, because the mean of its divisors is an integer number (873180000).

Almost surely, 2^312050351340 is an apocalyptic number.

312050351340 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 312050351340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240000).

312050351340 is an abundant number, since it is smaller than the sum of its proper divisors (1029154128660).

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

312050351340 is a wasteful number, since it uses less digits than its factorization.

312050351340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 312050351340 in words is "three hundred twelve billion, fifty million, three hundred fifty-one thousand, three hundred forty".