3141240960 has 512 divisors, whose sum is σ = 12473637120. Its totient is φ = 660602880.

The previous prime is 3141240959. The next prime is 3141240961. The reversal of 3141240960 is 690421413.

It is an interprime number because it is at equal distance from previous prime (3141240959) and next prime (3141240961).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3141240961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4667184 + ... + 4667856.

Almost surely, 2^3141240960 is an apocalyptic number.

3141240960 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 3141240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236818560).

3141240960 is an abundant number, since it is smaller than the sum of its proper divisors (9332396160).

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

3141240960 is a wasteful number, since it uses less digits than its factorization.

3141240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3141240960 is about 56046.7747510952. The cubic root of 3141240960 is about 1464.5372330325.

The spelling of 3141240960 in words is "three billion, one hundred forty-one million, two hundred forty thousand, nine hundred sixty".