3186394848 has 672 divisors, whose sum is σ = 12339532800. Its totient is φ = 786060288.

The previous prime is 3186394831. The next prime is 3186394853. The reversal of 3186394848 is 8484936813.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3186394848² = 20306224254721886208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3186394794 and 3186394803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40334073 + ... + 40334151.

It is an arithmetic number, because the mean of its divisors is an integer number (18362400).

Almost surely, 2^3186394848 is an apocalyptic number.

3186394848 is a gapful number since it is divisible by the number (38) 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 3186394848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169766400).

3186394848 is an abundant number, since it is smaller than the sum of its proper divisors (9153137952).

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

3186394848 is a wasteful number, since it uses less digits than its factorization.

3186394848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 3186394848 is about 56448.1607140569. The cubic root of 3186394848 is about 1471.5212240577.

The spelling of 3186394848 in words is "three billion, one hundred eighty-six million, three hundred ninety-four thousand, eight hundred forty-eight".