3825907942272 has 128 divisors (see below), whose sum is σ = 11107652760960. Its totient is φ = 1159632156672.

The previous prime is 3825907942267. The next prime is 3825907942277. The reversal of 3825907942272 is 2722497095283.

It is an interprime number because it is at equal distance from previous prime (3825907942267) and next prime (3825907942277).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825907942277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5384998 + ... + 6053925.

It is an arithmetic number, because the mean of its divisors is an integer number (86778537195).

Almost surely, 2^{3825907942272} is an apocalyptic number.

3825907942272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3825907942272 is an abundant number, since it is smaller than the sum of its proper divisors (7281744818688).

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

3825907942272 is a wasteful number, since it uses less digits than its factorization.

3825907942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11439020 (or 11439008 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 3825907942272 in words is "three trillion, eight hundred twenty-five billion, nine hundred seven million, nine hundred forty-two thousand, two hundred seventy-two".