3127290642 has 72 divisors (see below), whose sum is σ = 7892254656. Its totient is φ = 892355184.

The previous prime is 3127290629. The next prime is 3127290659. The reversal of 3127290642 is 2460927213.

3127290642 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 2 + 9 + 0 + 642 = 666.

3127290642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3127290597 and 3127290606.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 865203 + ... + 868809.

It is an arithmetic number, because the mean of its divisors is an integer number (109614648).

Almost surely, 2^3127290642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3127290642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946127328).

3127290642 is an abundant number, since it is smaller than the sum of its proper divisors (4764964014).

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

3127290642 is a wasteful number, since it uses less digits than its factorization.

3127290642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3127290642 is about 55922.1838092899. The cubic root of 3127290642 is about 1462.3660020120.

The spelling of 3127290642 in words is "three billion, one hundred twenty-seven million, two hundred ninety thousand, six hundred forty-two".