3141242880 has 416 divisors, whose sum is σ = 10898616960. Its totient is φ = 770703360.

The previous prime is 3141242861. The next prime is 3141242899. The reversal of 3141242880 is 882421413.

It is an interprime number because it is at equal distance from previous prime (3141242861) and next prime (3141242899).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73052139 + ... + 73052181.

Almost surely, 2^3141242880 is an apocalyptic number.

3141242880 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 3141242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449308480).

3141242880 is an abundant number, since it is smaller than the sum of its proper divisors (7757374080).

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

3141242880 is a wasteful number, since it uses less digits than its factorization.

3141242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 3141242880 is about 56046.7918796429. The cubic root of 3141242880 is about 1464.5375314189.

The spelling of 3141242880 in words is "three billion, one hundred forty-one million, two hundred forty-two thousand, eight hundred eighty".