348905040 has 160 divisors (see below), whose sum is σ = 1186638336. Its totient is φ = 84103680.

The previous prime is 348904993. The next prime is 348905069. The reversal of 348905040 is 40509843.

It is a Cunningham number, because it is equal to 18679²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 348904992 and 348905010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746887 + ... + 747353.

Almost surely, 2^348905040 is an apocalyptic number.

348905040 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 348905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593319168).

348905040 is an abundant number, since it is smaller than the sum of its proper divisors (837733296).

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

348905040 is a wasteful number, since it uses less digits than its factorization.

348905040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 348905040 is about 18678.9999732320. Note that the first 4 decimals coincide. The cubic root of 348905040 is about 703.9941997628.

The spelling of 348905040 in words is "three hundred forty-eight million, nine hundred five thousand, forty".