348870000 has 200 divisors, whose sum is σ = 1167938640. Its totient is φ = 89600000.

The previous prime is 348869981. The next prime is 348870023. The reversal of 348870000 is 78843.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 348870000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 869800 + ... + 870200.

Almost surely, 2^348870000 is an apocalyptic number.

348870000 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 348870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583969320).

348870000 is an abundant number, since it is smaller than the sum of its proper divisors (819068640).

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

348870000 is a wasteful number, since it uses less digits than its factorization.

348870000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 348870000 is about 18678.0619979697. The cubic root of 348870000 is about 703.9706319533.

It can be divided in two parts, 348 and 870000, that multiplied together give a square (302760000 = 17400²).

The spelling of 348870000 in words is "three hundred forty-eight million, eight hundred seventy thousand".