348008976000 has 2304 divisors, whose sum is σ = 1577136337920. Its totient is φ = 73156608000.

The previous prime is 348008975999. The next prime is 348008976001. The reversal of 348008976000 is 679800843.

It is a happy number.

348008976000 is a `hidden beast` number, since 34 + 8 + 0 + 0 + 8 + 9 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (348008975999) and next prime (348008976001).

It is a super-2 number, since 2×348008976000² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (348008976001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8093231979 + ... + 8093232021.

It is an arithmetic number, because the mean of its divisors is an integer number (684520980).

Almost surely, 2^348008976000 is an apocalyptic number.

348008976000 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 348008976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788568168960).

348008976000 is an abundant number, since it is smaller than the sum of its proper divisors (1229127361920).

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

348008976000 is a wasteful number, since it uses less digits than its factorization.

348008976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 348008976000 in words is "three hundred forty-eight billion, eight million, nine hundred seventy-six thousand".