348540840 has 128 divisors (see below), whose sum is σ = 1168876800. Its totient is φ = 92378880.

The previous prime is 348540839. The next prime is 348540847. The reversal of 348540840 is 48045843.

348540840 is a `hidden beast` number, since 34 + 8 + 540 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 348540795 and 348540804.

It is not an unprimeable number, because it can be changed into a prime (348540847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194589 + ... + 196371.

It is an arithmetic number, because the mean of its divisors is an integer number (9131850).

Almost surely, 2^348540840 is an apocalyptic number.

348540840 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 348540840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584438400).

348540840 is an abundant number, since it is smaller than the sum of its proper divisors (820335960).

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

348540840 is a wasteful number, since it uses less digits than its factorization.

348540840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 348540840 is about 18669.2485119246. The cubic root of 348540840 is about 703.7491627457.

The spelling of 348540840 in words is "three hundred forty-eight million, five hundred forty thousand, eight hundred forty".