3315153456 has 90 divisors (see below), whose sum is σ = 9499369308. Its totient is φ = 1079265600.

The previous prime is 3315153449. The next prime is 3315153467. The reversal of 3315153456 is 6543515133.

3315153456 is a `hidden beast` number, since 3 + 3 + 151 + 53 + 456 = 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 3315153456.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 260031 + ... + 272481.

Almost surely, 2^3315153456 is an apocalyptic number.

3315153456 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 3315153456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749684654).

3315153456 is an abundant number, since it is smaller than the sum of its proper divisors (6184215852).

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

3315153456 is a wasteful number, since it uses less digits than its factorization.

3315153456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12551 (or 12499 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 3315153456 is about 57577.3693042675. The cubic root of 3315153456 is about 1491.0809170864.

Adding to 3315153456 its reverse (6543515133), we get a palindrome (9858668589).

It can be divided in two parts, 331515 and 3456, that added together give a triangular number (334971 = T₈₁₈).

The spelling of 3315153456 in words is "three billion, three hundred fifteen million, one hundred fifty-three thousand, four hundred fifty-six".