3185168640 has 144 divisors (see below), whose sum is σ = 10421260416. Its totient is φ = 828620800.

The previous prime is 3185168621. The next prime is 3185168641. The reversal of 3185168640 is 468615813.

It is a junction number, because it is equal to n+sod(n) for n = 3185168592 and 3185168601.

It is not an unprimeable number, because it can be changed into a prime (3185168641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147325 + ... + 167555.

It is an arithmetic number, because the mean of its divisors is an integer number (72369864).

Almost surely, 2^3185168640 is an apocalyptic number.

3185168640 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 3185168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210630208).

3185168640 is an abundant number, since it is smaller than the sum of its proper divisors (7236091776).

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

3185168640 is a wasteful number, since it uses less digits than its factorization.

3185168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20296 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 3185168640 is about 56437.2983052874. The cubic root of 3185168640 is about 1471.3324398997.

The spelling of 3185168640 in words is "three billion, one hundred eighty-five million, one hundred sixty-eight thousand, six hundred forty".