3315456144 has 960 divisors, whose sum is σ = 13964106240. Its totient is φ = 729907200.

The previous prime is 3315456143. The next prime is 3315456149. The reversal of 3315456144 is 4416545133.

3315456144 is a `hidden beast` number, since 3 + 3 + 1 + 54 + 561 + 44 = 666.

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 = 3315456099 and 3315456108.

It is not an unprimeable number, because it can be changed into a prime (3315456143) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80864764 + ... + 80864804.

It is an arithmetic number, because the mean of its divisors is an integer number (14545944).

Almost surely, 2^3315456144 is an apocalyptic number.

3315456144 is a gapful number since it is divisible by the number (34) 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 3315456144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982053120).

3315456144 is an abundant number, since it is smaller than the sum of its proper divisors (10648650096).

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

3315456144 is a wasteful number, since it uses less digits than its factorization.

3315456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 3315456144 is about 57579.9977770059. The cubic root of 3315456144 is about 1491.1262964403.

It can be divided in two parts, 33154 and 56144, that added together give a palindrome (89298).

The spelling of 3315456144 in words is "three billion, three hundred fifteen million, four hundred fifty-six thousand, one hundred forty-four".