3005196840 has 192 divisors, whose sum is σ = 9972977040. Its totient is φ = 784650240.

The previous prime is 3005196839. The next prime is 3005196847. The reversal of 3005196840 is 486915003.

3005196840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2493803844 + 511392996 = 49938^2 + 22614^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3005196795 and 3005196804.

It is not an unprimeable number, because it can be changed into a prime (3005196847) 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, 4546110 + ... + 4546770.

Almost surely, 2^3005196840 is an apocalyptic number.

3005196840 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 3005196840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986488520).

3005196840 is an abundant number, since it is smaller than the sum of its proper divisors (6967780200).

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

3005196840 is a wasteful number, since it uses less digits than its factorization.

3005196840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3005196840 is about 54819.6756648560. The cubic root of 3005196840 is about 1443.0818832544.

The spelling of 3005196840 in words is "three billion, five million, one hundred ninety-six thousand, eight hundred forty".