3812252160 has 160 divisors (see below), whose sum is σ = 12485575872. Its totient is φ = 991723520.

The previous prime is 3812252149. The next prime is 3812252173. The reversal of 3812252160 is 612522183.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 308827 + ... + 320933.

Almost surely, 2^3812252160 is an apocalyptic number.

3812252160 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 3812252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242787936).

3812252160 is an abundant number, since it is smaller than the sum of its proper divisors (8673323712).

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

3812252160 is a wasteful number, since it uses less digits than its factorization.

3812252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12174 (or 12158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3812252160 is about 61743.4381938680. The cubic root of 3812252160 is about 1562.1660902265.

The spelling of 3812252160 in words is "three billion, eight hundred twelve million, two hundred fifty-two thousand, one hundred sixty".