348415540 has 144 divisors (see below), whose sum is σ = 871020864. Its totient is φ = 116006400.

The previous prime is 348415489. The next prime is 348415547. The reversal of 348415540 is 45514843.

348415540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 348415496 and 348415505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348415547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3256167 + ... + 3256273.

It is an arithmetic number, because the mean of its divisors is an integer number (6048756).

Almost surely, 2^348415540 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 348415540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435510432).

348415540 is an abundant number, since it is smaller than the sum of its proper divisors (522605324).

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

348415540 is a wasteful number, since it uses less digits than its factorization.

348415540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 348415540 is about 18665.8924244195. The cubic root of 348415540 is about 703.6648203207.

The spelling of 348415540 in words is "three hundred forty-eight million, four hundred fifteen thousand, five hundred forty".