348100400 has 120 divisors (see below), whose sum is σ = 881875104. Its totient is φ = 131788800.

The previous prime is 348100367. The next prime is 348100409. The reversal of 348100400 is 4001843.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (348100409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1444280 + ... + 1444520.

Almost surely, 2^348100400 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 348100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440937552).

348100400 is an abundant number, since it is smaller than the sum of its proper divisors (533774704).

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

348100400 is a wasteful number, since it uses less digits than its factorization.

348100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 348100400 is about 18657.4489145756. The cubic root of 348100400 is about 703.4526026306.

It can be divided in two parts, 348100 and 400, that multiplied together give a square (139240000 = 11800²).

The spelling of 348100400 in words is "three hundred forty-eight million, one hundred thousand, four hundred".