348849792 has 192 divisors, whose sum is σ = 1088380800. Its totient is φ = 106831872.

The previous prime is 348849791. The next prime is 348849799. The reversal of 348849792 is 297948843.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (3483648) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348849791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920259 + ... + 920637.

It is an arithmetic number, because the mean of its divisors is an integer number (5668650).

Almost surely, 2^348849792 is an apocalyptic number.

348849792 is a gapful number since it is divisible by the number (32) 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 348849792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544190400).

348849792 is an abundant number, since it is smaller than the sum of its proper divisors (739531008).

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

348849792 is a wasteful number, since it uses less digits than its factorization.

348849792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 348849792 is about 18677.5210346555. The cubic root of 348849792 is about 703.9570393895.

The spelling of 348849792 in words is "three hundred forty-eight million, eight hundred forty-nine thousand, seven hundred ninety-two".