10348338000 has 640 divisors, whose sum is σ = 44821131264. Its totient is φ = 1983744000.

The previous prime is 10348337999. The next prime is 10348338001. The reversal of 10348338000 is 83384301.

It is an interprime number because it is at equal distance from previous prime (10348337999) and next prime (10348338001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10348338001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6005139 + ... + 6006861.

Almost surely, 2^10348338000 is an apocalyptic number.

10348338000 is a gapful number since it is divisible by the number (10) 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 10348338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22410565632).

10348338000 is an abundant number, since it is smaller than the sum of its proper divisors (34472793264).

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

10348338000 is a wasteful number, since it uses less digits than its factorization.

10348338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10348338000 in words is "ten billion, three hundred forty-eight million, three hundred thirty-eight thousand".