3141618480 has 640 divisors, whose sum is σ = 14539069440. Its totient is φ = 602173440.

The previous prime is 3141618421. The next prime is 3141618499. The reversal of 3141618480 is 848161413.

It is a happy number.

3141618480 is a `hidden beast` number, since 3 + 14 + 161 + 8 + 480 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2161434 + ... + 2162886.

It is an arithmetic number, because the mean of its divisors is an integer number (22717296).

Almost surely, 2^3141618480 is an apocalyptic number.

3141618480 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 3141618480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7269534720).

3141618480 is an abundant number, since it is smaller than the sum of its proper divisors (11397450960).

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

3141618480 is a wasteful number, since it uses less digits than its factorization.

3141618480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3141618480 is about 56050.1425511122. The cubic root of 3141618480 is about 1464.5959009237.

Adding to 3141618480 its reverse (848161413), we get a palindrome (3989779893).

The spelling of 3141618480 in words is "three billion, one hundred forty-one million, six hundred eighteen thousand, four hundred eighty".