3141384120 has 480 divisors, whose sum is σ = 12573506880. Its totient is φ = 701084160.

The previous prime is 3141384109. The next prime is 3141384131. The reversal of 3141384120 is 214831413.

It is an interprime number because it is at equal distance from previous prime (3141384109) and next prime (3141384131).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7461510 + ... + 7461930.

It is an arithmetic number, because the mean of its divisors is an integer number (26194806).

Almost surely, 2^3141384120 is an apocalyptic number.

3141384120 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 3141384120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286753440).

3141384120 is an abundant number, since it is smaller than the sum of its proper divisors (9432122760).

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

3141384120 is a wasteful number, since it uses less digits than its factorization.

3141384120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3141384120 is about 56048.0518840753. The cubic root of 3141384120 is about 1464.5594811363.

The spelling of 3141384120 in words is "three billion, one hundred forty-one million, three hundred eighty-four thousand, one hundred twenty".