3815465472 has 480 divisors, whose sum is σ = 14096514432. Its totient is φ = 1003290624.

The previous prime is 3815465447. The next prime is 3815465497. The reversal of 3815465472 is 2745645183.

3815465472 is a `hidden beast` number, since 38 + 1 + 546 + 5 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (3815465447) and next prime (3815465497).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11321688 + ... + 11322024.

Almost surely, 2^3815465472 is an apocalyptic number.

3815465472 is a gapful number since it is divisible by the number (32) 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 3815465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048257216).

3815465472 is an abundant number, since it is smaller than the sum of its proper divisors (10281048960).

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

3815465472 is an equidigital number, since it uses as much as digits as its factorization.

3815465472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 362 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 3815465472 is about 61769.4541986571. The cubic root of 3815465472 is about 1562.6048787372.

The spelling of 3815465472 in words is "three billion, eight hundred fifteen million, four hundred sixty-five thousand, four hundred seventy-two".