3948797160 has 192 divisors, whose sum is σ = 16000433280. Its totient is φ = 820523520.

The previous prime is 3948797137. The next prime is 3948797197. The reversal of 3948797160 is 617978493.

It is a happy number.

3948797160 is a `hidden beast` number, since 39 + 487 + 9 + 71 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3948797097 and 3948797106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43507 + ... + 98946.

It is an arithmetic number, because the mean of its divisors is an integer number (83335590).

Almost surely, 2^3948797160 is an apocalyptic number.

3948797160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3948797160 is an abundant number, since it is smaller than the sum of its proper divisors (12051636120).

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

3948797160 is a wasteful number, since it uses less digits than its factorization.

3948797160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142488 (or 142481 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 3948797160 is about 62839.4554400339. The cubic root of 3948797160 is about 1580.5986568681.

It can be divided in two parts, 3948 and 797160, that added together give a palindrome (801108).

The spelling of 3948797160 in words is "three billion, nine hundred forty-eight million, seven hundred ninety-seven thousand, one hundred sixty".