3180340800 has 672 divisors, whose sum is σ = 14286585600. Its totient is φ = 670187520.

The previous prime is 3180340799. The next prime is 3180340853. The reversal of 3180340800 is 80430813.

3180340800 is a `hidden beast` number, since 318 + 0 + 340 + 8 + 0 + 0 = 666.

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

It is a super-2 number, since 2×3180340800² = 20229135208289280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3930796 + ... + 3931604.

It is an arithmetic number, because the mean of its divisors is an integer number (21259800).

Almost surely, 2^3180340800 is an apocalyptic number.

3180340800 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 3180340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143292800).

3180340800 is an abundant number, since it is smaller than the sum of its proper divisors (11106244800).

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

3180340800 is a wasteful number, since it uses less digits than its factorization.

3180340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3180340800 is about 56394.5103711345. The cubic root of 3180340800 is about 1470.5886855026.

The spelling of 3180340800 in words is "three billion, one hundred eighty million, three hundred forty thousand, eight hundred".