348639876 has 168 divisors, whose sum is σ = 1045004184. Its totient is φ = 100776960.

The previous prime is 348639839. The next prime is 348639881. The reversal of 348639876 is 678936843.

348639876 is a `hidden beast` number, since 3 + 486 + 3 + 98 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29160000 + 319479876 = 5400^2 + 17874^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5225472) is a multiple of the sum of its prime divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 644166 + ... + 644706.

It is an arithmetic number, because the mean of its divisors is an integer number (6220263).

Almost surely, 2^348639876 is an apocalyptic number.

348639876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348639876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522502092).

348639876 is an abundant number, since it is smaller than the sum of its proper divisors (696364308).

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

348639876 is a wasteful number, since it uses less digits than its factorization.

348639876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 348639876 is about 18671.9007066769. The cubic root of 348639876 is about 703.8158119432.

The spelling of 348639876 in words is "three hundred forty-eight million, six hundred thirty-nine thousand, eight hundred seventy-six".