348147072000 has 2464 divisors, whose sum is σ = 1641836536704. Its totient is φ = 71663616000.

The previous prime is 348147071999. The next prime is 348147072023. The reversal of 348147072000 is 270741843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8491391980 + ... + 8491392020.

Almost surely, 2^348147072000 is an apocalyptic number.

348147072000 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 348147072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820918268352).

348147072000 is an abundant number, since it is smaller than the sum of its proper divisors (1293689464704).

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

348147072000 is an equidigital number, since it uses as much as digits as its factorization.

348147072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 348147072000 in words is "three hundred forty-eight billion, one hundred forty-seven million, seventy-two thousand".