3815193312 has 864 divisors, whose sum is σ = 15058068480. Its totient is φ = 940584960.

The previous prime is 3815193301. The next prime is 3815193353. The reversal of 3815193312 is 2133915183.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 143 ways as a sum of consecutive naturals, for example, 123070737 + ... + 123070767.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^3815193312 is an apocalyptic number.

3815193312 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 3815193312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3815193312 is an abundant number, since it is smaller than the sum of its proper divisors (11242875168).

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

3815193312 is a wasteful number, since it uses less digits than its factorization.

3815193312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 3815193312 is about 61767.2511287333. The cubic root of 3815193312 is about 1562.5677239296.

The spelling of 3815193312 in words is "three billion, eight hundred fifteen million, one hundred ninety-three thousand, three hundred twelve".