3143761920 has 432 divisors, whose sum is σ = 12022926552. Its totient is φ = 754974720.

The previous prime is 3143761913. The next prime is 3143761921. The reversal of 3143761920 is 291673413.

3143761920 is a `hidden beast` number, since 3 + 1 + 4 + 37 + 619 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1090584576 + 2053177344 = 33024^2 + 45312^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3143761921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76677100 + ... + 76677140.

Almost surely, 2^3143761920 is an apocalyptic number.

3143761920 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 3143761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011463276).

3143761920 is an abundant number, since it is smaller than the sum of its proper divisors (8879164632).

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

3143761920 is an equidigital number, since it uses as much as digits as its factorization.

3143761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3143761920 is about 56069.2600272199. The cubic root of 3143761920 is about 1464.9289097196.

The spelling of 3143761920 in words is "three billion, one hundred forty-three million, seven hundred sixty-one thousand, nine hundred twenty".