3143546640 has 480 divisors, whose sum is σ = 12117661920. Its totient is φ = 724598784.

The previous prime is 3143546633. The next prime is 3143546657. The reversal of 3143546640 is 466453413.

3143546640 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 5 + 4 + 6 + 640 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1529435664 + 1614110976 = 39108^2 + 40176^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3143546595 and 3143546604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10043124 + ... + 10043436.

It is an arithmetic number, because the mean of its divisors is an integer number (25245129).

Almost surely, 2^3143546640 is an apocalyptic number.

3143546640 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 3143546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058830960).

3143546640 is an abundant number, since it is smaller than the sum of its proper divisors (8974115280).

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

3143546640 is a wasteful number, since it uses less digits than its factorization.

3143546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3143546640 is about 56067.3402258391. The cubic root of 3143546640 is about 1464.8954702605.

The spelling of 3143546640 in words is "three billion, one hundred forty-three million, five hundred forty-six thousand, six hundred forty".