3795251712 has 320 divisors, whose sum is σ = 12256358400. Its totient is φ = 1020248064.

The previous prime is 3795251711. The next prime is 3795251731. The reversal of 3795251712 is 2171525973.

It is a super-3 number, since 3×3795251712³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3795251711) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25471414 + ... + 25471562.

It is an arithmetic number, because the mean of its divisors is an integer number (38301120).

Almost surely, 2^3795251712 is an apocalyptic number.

3795251712 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 3795251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128179200).

3795251712 is an abundant number, since it is smaller than the sum of its proper divisors (8461106688).

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

3795251712 is a wasteful number, since it uses less digits than its factorization.

3795251712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its digits is 132300, while the sum is 42.

The square root of 3795251712 is about 61605.6142896084. The cubic root of 3795251712 is about 1559.8405096644.

The spelling of 3795251712 in words is "three billion, seven hundred ninety-five million, two hundred fifty-one thousand, seven hundred twelve".