348384096 has 72 divisors (see below), whose sum is σ = 992542824. Its totient is φ = 115914240.

The previous prime is 348384083. The next prime is 348384103. The reversal of 348384096 is 690483843.

348384096 is a `hidden beast` number, since 3 + 483 + 84 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269211 + ... + 270501.

It is an arithmetic number, because the mean of its divisors is an integer number (13785317).

Almost surely, 2^348384096 is an apocalyptic number.

348384096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

348384096 is an abundant number, since it is smaller than the sum of its proper divisors (644158728).

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

348384096 is a wasteful number, since it uses less digits than its factorization.

348384096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 348384096 is about 18665.0501204792. The cubic root of 348384096 is about 703.6436514388.

The spelling of 348384096 in words is "three hundred forty-eight million, three hundred eighty-four thousand, ninety-six".