3180384000 has 432 divisors, whose sum is σ = 11896815840. Its totient is φ = 846028800.

The previous prime is 3180383959. The next prime is 3180384007. The reversal of 3180384000 is 4830813.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3180384000² = 20229684774912000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3180384007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775796 + ... + 7776204.

Almost surely, 2^3180384000 is an apocalyptic number.

3180384000 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 3180384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948407920).

3180384000 is an abundant number, since it is smaller than the sum of its proper divisors (8716431840).

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

3180384000 is an frugal number, since it uses more digits than its factorization.

3180384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 419 counting only the distinct ones).

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

The square root of 3180384000 is about 56394.8933858377. The cubic root of 3180384000 is about 1470.5953440284.

The spelling of 3180384000 in words is "three billion, one hundred eighty million, three hundred eighty-four thousand".