348276396240 has 120 divisors (see below), whose sum is σ = 1172764867560. Its totient is φ = 92624643072.

The previous prime is 348276396191. The next prime is 348276396257. The reversal of 348276396240 is 42693672843.

348276396240 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 7 + 6 + 3 + 9 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54156736656 + 294119659584 = 232716^2 + 542328^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×348276396240² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 379855 + ... + 916974.

It is an arithmetic number, because the mean of its divisors is an integer number (9773040563).

Almost surely, 2^348276396240 is an apocalyptic number.

348276396240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348276396240 is an abundant number, since it is smaller than the sum of its proper divisors (824488471320).

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

348276396240 is a wasteful number, since it uses less digits than its factorization.

348276396240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297221 (or 1297212 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 348276396240 in words is "three hundred forty-eight billion, two hundred seventy-six million, three hundred ninety-six thousand, two hundred forty".