3863075385672 has 160 divisors (see below), whose sum is σ = 11322301419000. Its totient is φ = 1229249488896.

The previous prime is 3863075385649. The next prime is 3863075385691. The reversal of 3863075385672 is 2765835703683.

It is a happy number.

3863075385672 is a `hidden beast` number, since 3 + 8 + 6 + 30 + 7 + 5 + 38 + 567 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3859833905316 + 3241480356 = 1964646^2 + 56934^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 249297 + ... + 2790752.

Almost surely, 2^{3863075385672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3863075385672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661150709500).

3863075385672 is an abundant number, since it is smaller than the sum of its proper divisors (7459226033328).

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

3863075385672 is a wasteful number, since it uses less digits than its factorization.

3863075385672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040157 (or 3040144 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 3863075385672 in words is "three trillion, eight hundred sixty-three billion, seventy-five million, three hundred eighty-five thousand, six hundred seventy-two".