348544840 has 96 divisors (see below), whose sum is σ = 924220800. Its totient is φ = 117936000.

The previous prime is 348544817. The next prime is 348544841. The reversal of 348544840 is 48445843.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 348544793 and 348544802.

It is not an unprimeable number, because it can be changed into a prime (348544841) 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, 153715 + ... + 155965.

It is an arithmetic number, because the mean of its divisors is an integer number (9627300).

Almost surely, 2^348544840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348544840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462110400).

348544840 is an abundant number, since it is smaller than the sum of its proper divisors (575675960).

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

348544840 is a wasteful number, since it uses less digits than its factorization.

348544840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The square root of 348544840 is about 18669.3556396572. The cubic root of 348544840 is about 703.7518549084.

The spelling of 348544840 in words is "three hundred forty-eight million, five hundred forty-four thousand, eight hundred forty".