348647040 has 192 divisors, whose sum is σ = 1376069760. Its totient is φ = 79681536.

The previous prime is 348647023. The next prime is 348647059. The reversal of 348647040 is 40746843.

348647040 is a `hidden beast` number, since 3 + 4 + 8 + 647 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 348646986 and 348647004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35997 + ... + 44643.

It is an arithmetic number, because the mean of its divisors is an integer number (7167030).

Almost surely, 2^348647040 is an apocalyptic number.

348647040 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 348647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688034880).

348647040 is an abundant number, since it is smaller than the sum of its proper divisors (1027422720).

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

348647040 is a wasteful number, since it uses less digits than its factorization.

348647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 348647040 is about 18672.0925447578. The cubic root of 348647040 is about 703.8206326788.

The spelling of 348647040 in words is "three hundred forty-eight million, six hundred forty-seven thousand, forty".