346848840 has 144 divisors (see below), whose sum is σ = 1220855220. Its totient is φ = 85363200.

The previous prime is 346848829. The next prime is 346848877. The reversal of 346848840 is 48848643.

346848840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 84603204 + 262245636 = 9198^2 + 16194^2 .

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 35 ways as a sum of consecutive naturals, for example, 57990 + ... + 63690.

Almost surely, 2^346848840 is an apocalyptic number.

346848840 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 346848840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610427610).

346848840 is an abundant number, since it is smaller than the sum of its proper divisors (874006380).

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

346848840 is a wasteful number, since it uses less digits than its factorization.

346848840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 346848840 is about 18623.8782212513. The cubic root of 346848840 is about 702.6085258474.

The spelling of 346848840 in words is "three hundred forty-six million, eight hundred forty-eight thousand, eight hundred forty".