3812571840 has 224 divisors, whose sum is σ = 15092135424. Its totient is φ = 792207360.

The previous prime is 3812571817. The next prime is 3812571853. The reversal of 3812571840 is 481752183.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 48132 + ... + 99708.

Almost surely, 2^3812571840 is an apocalyptic number.

3812571840 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 3812571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546067712).

3812571840 is an abundant number, since it is smaller than the sum of its proper divisors (11279563584).

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

3812571840 is a wasteful number, since it uses less digits than its factorization.

3812571840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51615 (or 51605 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 3812571840 is about 61746.0269167175. The cubic root of 3812571840 is about 1562.2097546429.

The spelling of 3812571840 in words is "three billion, eight hundred twelve million, five hundred seventy-one thousand, eight hundred forty".