348774400 has 168 divisors, whose sum is σ = 938549304. Its totient is φ = 127795200.

The previous prime is 348774379. The next prime is 348774407. The reversal of 348774400 is 4477843.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 348774400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348774407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2662335 + ... + 2662465.

It is an arithmetic number, because the mean of its divisors is an integer number (5586603).

Almost surely, 2^348774400 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 348774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469274652).

348774400 is an abundant number, since it is smaller than the sum of its proper divisors (589774904).

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

348774400 is a wasteful number, since it uses less digits than its factorization.

348774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 348774400 is about 18675.5026706110. The cubic root of 348774400 is about 703.9063236238.

The spelling of 348774400 in words is "three hundred forty-eight million, seven hundred seventy-four thousand, four hundred".