3139268160 has 448 divisors, whose sum is σ = 12523622400. Its totient is φ = 649617408.

The previous prime is 3139268117. The next prime is 3139268233. The reversal of 3139268160 is 618629313.

3139268160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2936106 + ... + 2937174.

Almost surely, 2^3139268160 is an apocalyptic number.

3139268160 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 3139268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261811200).

3139268160 is an abundant number, since it is smaller than the sum of its proper divisors (9384354240).

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

3139268160 is a wasteful number, since it uses less digits than its factorization.

3139268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3139268160 is about 56029.1724015267. The cubic root of 3139268160 is about 1464.2305767199.

The spelling of 3139268160 in words is "three billion, one hundred thirty-nine million, two hundred sixty-eight thousand, one hundred sixty".