346485807360 has 3456 divisors, whose sum is σ = 1758782398464. Its totient is φ = 63063982080.

The previous prime is 346485807329. The next prime is 346485807407. The reversal of 346485807360 is 63708584643.

346485807360 is a `hidden beast` number, since 3 + 464 + 8 + 58 + 0 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×346485807360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 346485807297 and 346485807306.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9364481262 + ... + 9364481298.

It is an arithmetic number, because the mean of its divisors is an integer number (508906944).

Almost surely, 2^346485807360 is an apocalyptic number.

346485807360 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 346485807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879391199232).

346485807360 is an abundant number, since it is smaller than the sum of its proper divisors (1412296591104).

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

346485807360 is a wasteful number, since it uses less digits than its factorization.

346485807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 346485807360 in words is "three hundred forty-six billion, four hundred eighty-five million, eight hundred seven thousand, three hundred sixty".