346791648 has 192 divisors, whose sum is σ = 1108477440. Its totient is φ = 92731392.

The previous prime is 346791647. The next prime is 346791659. The reversal of 346791648 is 846197643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 346791597 and 346791606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346791647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004490 + ... + 2004662.

It is an arithmetic number, because the mean of its divisors is an integer number (5773320).

Almost surely, 2^346791648 is an apocalyptic number.

346791648 is a gapful number since it is divisible by the number (38) 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 346791648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554238720).

346791648 is an abundant number, since it is smaller than the sum of its proper divisors (761685792).

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

346791648 is a wasteful number, since it uses less digits than its factorization.

346791648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 346791648 is about 18622.3427097667. The cubic root of 346791648 is about 702.5699059540.

The spelling of 346791648 in words is "three hundred forty-six million, seven hundred ninety-one thousand, six hundred forty-eight".