3187148160 has 384 divisors, whose sum is σ = 12446611200. Its totient is φ = 689762304.

The previous prime is 3187148087. The next prime is 3187148183. The reversal of 3187148160 is 618417813.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1786629 + ... + 1788411.

It is an arithmetic number, because the mean of its divisors is an integer number (32413050).

Almost surely, 2^3187148160 is an apocalyptic number.

3187148160 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 3187148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223305600).

3187148160 is an abundant number, since it is smaller than the sum of its proper divisors (9259463040).

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

3187148160 is a wasteful number, since it uses less digits than its factorization.

3187148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 3187148160 is about 56454.8329197776. The cubic root of 3187148160 is about 1471.6371782216.

The spelling of 3187148160 in words is "three billion, one hundred eighty-seven million, one hundred forty-eight thousand, one hundred sixty".