3978292137 has 16 divisors (see below), whose sum is σ = 5408282880. Its totient is φ = 2600750592.

The previous prime is 3978292117. The next prime is 3978292147. The reversal of 3978292137 is 7312928793.

3978292137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3978292137 - 2²⁰ = 3977243561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3978292137.

It is not an unprimeable number, because it can be changed into a prime (3978292117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30993 + ... + 94430.

It is an arithmetic number, because the mean of its divisors is an integer number (338017680).

Almost surely, 2^3978292137 is an apocalyptic number.

It is an amenable number.

3978292137 is a deficient number, since it is larger than the sum of its proper divisors (1429990743).

3978292137 is a wasteful number, since it uses less digits than its factorization.

3978292137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125632.

The product of its digits is 1143072, while the sum is 51.

The square root of 3978292137 is about 63073.7040057107. The cubic root of 3978292137 is about 1584.5242511951.

The spelling of 3978292137 in words is "three billion, nine hundred seventy-eight million, two hundred ninety-two thousand, one hundred thirty-seven".