3806481042 has 192 divisors, whose sum is σ = 10512762624. Its totient is φ = 968578560.

The previous prime is 3806481037. The next prime is 3806481047. The reversal of 3806481042 is 2401846083.

3806481042 is a `hidden beast` number, since 3 + 8 + 0 + 648 + 1 + 0 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3806481037) and next prime (3806481047).

It is a junction number, because it is equal to n+sod(n) for n = 3806480988 and 3806481006.

It is not an unprimeable number, because it can be changed into a prime (3806481047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10969513 + ... + 10969859.

It is an arithmetic number, because the mean of its divisors is an integer number (54753972).

Almost surely, 2^3806481042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3806481042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256381312).

3806481042 is an abundant number, since it is smaller than the sum of its proper divisors (6706281582).

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

3806481042 is a wasteful number, since it uses less digits than its factorization.

3806481042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3806481042 is about 61696.6858267120. The cubic root of 3806481042 is about 1561.3774052541.

The spelling of 3806481042 in words is "three billion, eight hundred six million, four hundred eighty-one thousand, forty-two".