3149743968 has 240 divisors, whose sum is σ = 10748795904. Its totient is φ = 886152960.

The previous prime is 3149743931. The next prime is 3149743979. The reversal of 3149743968 is 8693479413.

It is a happy number.

3149743968 is a `hidden beast` number, since 3 + 149 + 7 + 439 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1214353 + ... + 1216943.

Almost surely, 2^3149743968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3149743968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374397952).

3149743968 is an abundant number, since it is smaller than the sum of its proper divisors (7599051936).

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

3149743968 is a wasteful number, since it uses less digits than its factorization.

3149743968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2670 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3149743968 is about 56122.5798409161. The cubic root of 3149743968 is about 1465.8574917604.

The spelling of 3149743968 in words is "three billion, one hundred forty-nine million, seven hundred forty-three thousand, nine hundred sixty-eight".