348727680 has 480 divisors, whose sum is σ = 1470672720. Its totient is φ = 77137920.

The previous prime is 348727663. The next prime is 348727727. The reversal of 348727680 is 86727843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×348727680² = 243221989596364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11249265 + ... + 11249295.

Almost surely, 2^348727680 is an apocalyptic number.

348727680 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 348727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735336360).

348727680 is an abundant number, since it is smaller than the sum of its proper divisors (1121945040).

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

348727680 is an equidigital number, since it uses as much as digits as its factorization.

348727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 348727680 is about 18674.2517922406. The cubic root of 348727680 is about 703.8748916801.

The spelling of 348727680 in words is "three hundred forty-eight million, seven hundred twenty-seven thousand, six hundred eighty".