3141697536 has 256 divisors, whose sum is σ = 9625780800. Its totient is φ = 1012137984.

The previous prime is 3141697459. The next prime is 3141697541. The reversal of 3141697536 is 6357961413.

It is a happy number.

3141697536 is a `hidden beast` number, since 3 + 14 + 16 + 97 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 3141697491 and 3141697500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46890975 + ... + 46891041.

Almost surely, 2^3141697536 is an apocalyptic number.

3141697536 is a gapful number since it is divisible by the number (36) 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 3141697536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812890400).

3141697536 is an abundant number, since it is smaller than the sum of its proper divisors (6484083264).

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

3141697536 is an frugal number, since it uses more digits than its factorization.

3141697536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 3141697536 is about 56050.8477723576. The cubic root of 3141697536 is about 1464.6081858996.

The spelling of 3141697536 in words is "three billion, one hundred forty-one million, six hundred ninety-seven thousand, five hundred thirty-six".