348016296960 has 1056 divisors, whose sum is σ = 1361026391040. Its totient is φ = 84226867200.

The previous prime is 348016296959. The next prime is 348016296973. The reversal of 348016296960 is 69692610843.

348016296960 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 1 + 629 + 6 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×348016296960² (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 = 348016296897 and 348016296906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1238492020 + ... + 1238492300.

Almost surely, 2^348016296960 is an apocalyptic number.

348016296960 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 348016296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680513195520).

348016296960 is an abundant number, since it is smaller than the sum of its proper divisors (1013010094080).

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

348016296960 is a wasteful number, since it uses less digits than its factorization.

348016296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 348016296960 in words is "three hundred forty-eight billion, sixteen million, two hundred ninety-six thousand, nine hundred sixty".