348287362500 has 288 divisors, whose sum is σ = 1266428943360. Its totient is φ = 72370800000.

The previous prime is 348287362471. The next prime is 348287362573. The reversal of 348287362500 is 5263782843.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 348287362500.

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, 2827191 + ... + 2947809.

It is an arithmetic number, because the mean of its divisors is an integer number (4397322720).

Almost surely, 2^348287362500 is an apocalyptic number.

348287362500 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 348287362500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633214471680).

348287362500 is an abundant number, since it is smaller than the sum of its proper divisors (918141580860).

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

348287362500 is a wasteful number, since it uses less digits than its factorization.

348287362500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120669 (or 120647 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 348287362500 in words is "three hundred forty-eight billion, two hundred eighty-seven million, three hundred sixty-two thousand, five hundred".