3143935872 has 576 divisors, whose sum is σ = 11967096960. Its totient is φ = 769443840.

The previous prime is 3143935853. The next prime is 3143935901. The reversal of 3143935872 is 2785393413.

3143935872 is a `hidden beast` number, since 31 + 4 + 39 + 3 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46924383 + ... + 46924449.

It is an arithmetic number, because the mean of its divisors is an integer number (20776210).

Almost surely, 2^3143935872 is an apocalyptic number.

3143935872 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 3143935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983548480).

3143935872 is an abundant number, since it is smaller than the sum of its proper divisors (8823161088).

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

3143935872 is a wasteful number, since it uses less digits than its factorization.

3143935872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 3143935872 is about 56070.8112300866. The cubic root of 3143935872 is about 1464.9559285822.

The spelling of 3143935872 in words is "three billion, one hundred forty-three million, nine hundred thirty-five thousand, eight hundred seventy-two".