348946920 has 256 divisors, whose sum is σ = 1345420800. Its totient is φ = 78796800.

The previous prime is 348946919. The next prime is 348946933. The reversal of 348946920 is 29649843.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 763332 + ... + 763788.

It is an arithmetic number, because the mean of its divisors is an integer number (5255550).

Almost surely, 2^348946920 is an apocalyptic number.

348946920 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 348946920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672710400).

348946920 is an abundant number, since it is smaller than the sum of its proper divisors (996473880).

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

348946920 is a wasteful number, since it uses less digits than its factorization.

348946920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 348946920 is about 18680.1209846189. The cubic root of 348946920 is about 704.0223660680.

It can be divided in two parts, 348946 and 920, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 348946920 in words is "three hundred forty-eight million, nine hundred forty-six thousand, nine hundred twenty".