348891840 has 224 divisors, whose sum is σ = 1343070720. Its totient is φ = 84556800.

The previous prime is 348891827. The next prime is 348891863. The reversal of 348891840 is 48198843.

348891840 is a `hidden beast` number, since 3 + 488 + 91 + 84 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 93205 + ... + 96875.

Almost surely, 2^348891840 is an apocalyptic number.

348891840 is a gapful number since it is divisible by the number (30) 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 348891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671535360).

348891840 is an abundant number, since it is smaller than the sum of its proper divisors (994178880).

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

348891840 is a wasteful number, since it uses less digits than its factorization.

348891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 348891840 is about 18678.6466319163. The cubic root of 348891840 is about 703.9853216637.

The spelling of 348891840 in words is "three hundred forty-eight million, eight hundred ninety-one thousand, eight hundred forty".