348845640 has 256 divisors, whose sum is σ = 1273708800. Its totient is φ = 75264000.

The previous prime is 348845621. The next prime is 348845683. The reversal of 348845640 is 46548843.

It is a junction number, because it is equal to n+sod(n) for n = 348845592 and 348845601.

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, 497290 + ... + 497990.

It is an arithmetic number, because the mean of its divisors is an integer number (4975425).

Almost surely, 2^348845640 is an apocalyptic number.

348845640 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 348845640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636854400).

348845640 is an abundant number, since it is smaller than the sum of its proper divisors (924863160).

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

348845640 is a wasteful number, since it uses less digits than its factorization.

348845640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 348845640 is about 18677.4098846708. The cubic root of 348845640 is about 703.9542465530.

The spelling of 348845640 in words is "three hundred forty-eight million, eight hundred forty-five thousand, six hundred forty".