3180454956 has 126 divisors (see below), whose sum is σ = 9707741820. Its totient is φ = 908660592.

The previous prime is 3180454939. The next prime is 3180454957. The reversal of 3180454956 is 6594540813.

3180454956 is a `hidden beast` number, since 31 + 80 + 454 + 95 + 6 = 666.

3180454956 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (126).

It is not an unprimeable number, because it can be changed into a prime (3180454957) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 131755 + ... + 154013.

It is an arithmetic number, because the mean of its divisors is an integer number (77045570).

Almost surely, 2^3180454956 is an apocalyptic number.

3180454956 is a gapful number since it is divisible by the number (36) 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 3180454956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853870910).

3180454956 is an abundant number, since it is smaller than the sum of its proper divisors (6527286864).

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

3180454956 is a wasteful number, since it uses less digits than its factorization.

3180454956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22295 (or 22271 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3180454956 is about 56395.5224818425. The cubic root of 3180454956 is about 1470.6062805261.

The spelling of 3180454956 in words is "three billion, one hundred eighty million, four hundred fifty-four thousand, nine hundred fifty-six".