348944319360 has 960 divisors, whose sum is σ = 1561250164320. Its totient is φ = 73616449536.

The previous prime is 348944319359. The next prime is 348944319389. The reversal of 348944319360 is 63913449843.

It is a happy number.

348944319360 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 443 + 193 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×348944319360² (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 = 348944319297 and 348944319306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33016797 + ... + 33027363.

Almost surely, 2^348944319360 is an apocalyptic number.

348944319360 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 348944319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780625082160).

348944319360 is an abundant number, since it is smaller than the sum of its proper divisors (1212305844960).

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

348944319360 is a wasteful number, since it uses less digits than its factorization.

348944319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10597 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 348944319360 in words is "three hundred forty-eight billion, nine hundred forty-four million, three hundred nineteen thousand, three hundred sixty".