3141960192 has 400 divisors, whose sum is σ = 10932514560. Its totient is φ = 879869952.

The previous prime is 3141960187. The next prime is 3141960197. The reversal of 3141960192 is 2910691413.

It is a happy number.

3141960192 is a `hidden beast` number, since 3 + 1 + 41 + 9 + 601 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3141960187) and next prime (3141960197).

It is a super-2 number, since 2×3141960192² = 19743827696225353728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3141960197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22933948 + ... + 22934084.

Almost surely, 2^3141960192 is an apocalyptic number.

3141960192 is a gapful number since it is divisible by the number (32) 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 3141960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466257280).

3141960192 is an abundant number, since it is smaller than the sum of its proper divisors (7790554368).

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

3141960192 is an equidigital number, since it uses as much as digits as its factorization.

3141960192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3141960192 is about 56053.1907387974. The cubic root of 3141960192 is about 1464.6490000777.

The spelling of 3141960192 in words is "three billion, one hundred forty-one million, nine hundred sixty thousand, one hundred ninety-two".