348883920 has 720 divisors, whose sum is σ = 1587755520. Its totient is φ = 67737600.

The previous prime is 348883907. The next prime is 348883937. The reversal of 348883920 is 29388843.

348883920 is a `hidden beast` number, since 3 + 488 + 83 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11254305 + ... + 11254335.

It is an arithmetic number, because the mean of its divisors is an integer number (2205216).

Almost surely, 2^348883920 is an apocalyptic number.

348883920 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 348883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

348883920 is an abundant number, since it is smaller than the sum of its proper divisors (1238871600).

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

348883920 is a wasteful number, since it uses less digits than its factorization.

348883920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 348883920 is about 18678.4346239186. The cubic root of 348883920 is about 703.9799946967.

The spelling of 348883920 in words is "three hundred forty-eight million, eight hundred eighty-three thousand, nine hundred twenty".