3187164672 has 140 divisors (see below), whose sum is σ = 9548907060. Its totient is φ = 1062263808.

The previous prime is 3187164667. The next prime is 3187164677. The reversal of 3187164672 is 2764617813.

3187164672 is a `hidden beast` number, since 3 + 187 + 1 + 6 + 467 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3187164667) and next prime (3187164677).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3187164677) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 368979 + ... + 377517.

It is an arithmetic number, because the mean of its divisors is an integer number (68206479).

Almost surely, 2^3187164672 is an apocalyptic number.

3187164672 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 3187164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774453530).

3187164672 is an abundant number, since it is smaller than the sum of its proper divisors (6361742388).

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

3187164672 is an frugal number, since it uses more digits than its factorization.

3187164672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8575 (or 8544 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 3187164672 is about 56454.9791603894. The cubic root of 3187164672 is about 1471.6397196400.

The spelling of 3187164672 in words is "three billion, one hundred eighty-seven million, one hundred sixty-four thousand, six hundred seventy-two".