3315603456 has 480 divisors, whose sum is σ = 11416204800. Its totient is φ = 948879360.

The previous prime is 3315603439. The next prime is 3315603469. The reversal of 3315603456 is 6543065133.

3315603456 is a `hidden beast` number, since 3 + 3 + 1 + 5 + 603 + 45 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3315603456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41969625 + ... + 41969703.

It is an arithmetic number, because the mean of its divisors is an integer number (23783760).

Almost surely, 2^3315603456 is an apocalyptic number.

3315603456 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 3315603456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708102400).

3315603456 is an abundant number, since it is smaller than the sum of its proper divisors (8100601344).

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

3315603456 is a wasteful number, since it uses less digits than its factorization.

3315603456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3315603456 is about 57581.2769570109. The cubic root of 3315603456 is about 1491.1483806356.

Adding to 3315603456 its reverse (6543065133), we get a palindrome (9858668589).

The spelling of 3315603456 in words is "three billion, three hundred fifteen million, six hundred three thousand, four hundred fifty-six".