3812568480 has 768 divisors, whose sum is σ = 16257024000. Its totient is φ = 833172480.

The previous prime is 3812568457. The next prime is 3812568493. The reversal of 3812568480 is 848652183.

3812568480 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 568 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45934519 + ... + 45934601.

It is an arithmetic number, because the mean of its divisors is an integer number (21168000).

Almost surely, 2^3812568480 is an apocalyptic number.

3812568480 is a gapful number since it is divisible by the number (30) 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 3812568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128512000).

3812568480 is an abundant number, since it is smaller than the sum of its proper divisors (12444455520).

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

3812568480 is a wasteful number, since it uses less digits than its factorization.

3812568480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 3812568480 is about 61745.9997084831. Note that the first 3 decimals coincide. The cubic root of 3812568480 is about 1562.2092957203.

The spelling of 3812568480 in words is "three billion, eight hundred twelve million, five hundred sixty-eight thousand, four hundred eighty".