3141418950 has 288 divisors, whose sum is σ = 9447145344. Its totient is φ = 773245440.

The previous prime is 3141418937. The next prime is 3141418957. The reversal of 3141418950 is 598141413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141418957) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13838737 + ... + 13838963.

It is an arithmetic number, because the mean of its divisors is an integer number (32802588).

Almost surely, 2^3141418950 is an apocalyptic number.

3141418950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141418950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723572672).

3141418950 is an abundant number, since it is smaller than the sum of its proper divisors (6305726394).

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

3141418950 is a wasteful number, since it uses less digits than its factorization.

3141418950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3141418950 is about 56048.3625987415. The cubic root of 3141418950 is about 1464.5648938691.

The spelling of 3141418950 in words is "three billion, one hundred forty-one million, four hundred eighteen thousand, nine hundred fifty".