3141905884740 has 1080 divisors, whose sum is σ = 12273751562688. Its totient is φ = 670689331200.

The previous prime is 3141905884729. The next prime is 3141905884751. The reversal of 3141905884740 is 474885091413.

3141905884740 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 90 + 5 + 88 + 474 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3141905884729) and next prime (3141905884751).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3464063367 + ... + 3464064273.

Almost surely, 2^{3141905884740} is an apocalyptic number.

3141905884740 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 3141905884740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136875781344).

3141905884740 is an abundant number, since it is smaller than the sum of its proper divisors (9131845677948).

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

3141905884740 is a wasteful number, since it uses less digits than its factorization.

3141905884740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 3141905884740 in words is "three trillion, one hundred forty-one billion, nine hundred five million, eight hundred eighty-four thousand, seven hundred forty".