3815251968 has 168 divisors, whose sum is σ = 11191030704. Its totient is φ = 1155235840.

The previous prime is 3815251967. The next prime is 3815251987. The reversal of 3815251968 is 8691525183.

It is a happy number.

It is a super-3 number, since 3×3815251968³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3815251963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2973055 + ... + 2974337.

It is an arithmetic number, because the mean of its divisors is an integer number (66613278).

Almost surely, 2^3815251968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3815251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595515352).

3815251968 is an abundant number, since it is smaller than the sum of its proper divisors (7375778736).

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

3815251968 is a wasteful number, since it uses less digits than its factorization.

3815251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1299 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The square root of 3815251968 is about 61767.7259416275. The cubic root of 3815251968 is about 1562.5757316936.

The spelling of 3815251968 in words is "three billion, eight hundred fifteen million, two hundred fifty-one thousand, nine hundred sixty-eight".