348126408 has 192 divisors, whose sum is σ = 1169925120. Its totient is φ = 91238400.

The previous prime is 348126407. The next prime is 348126463. The reversal of 348126408 is 804621843.

348126408 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 2 + 640 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (348126407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350793 + ... + 351783.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^348126408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348126408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

348126408 is an abundant number, since it is smaller than the sum of its proper divisors (821798712).

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

348126408 is a wasteful number, since it uses less digits than its factorization.

348126408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1061 counting only the distinct ones).

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

The square root of 348126408 is about 18658.1458885925. The cubic root of 348126408 is about 703.4701214649.

It can be divided in two parts, 348 and 126408, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 348126408 in words is "three hundred forty-eight million, one hundred twenty-six thousand, four hundred eight".