3500138723200 has 192 divisors, whose sum is σ = 9931310784000. Its totient is φ = 1194015651840.

The previous prime is 3500138723189. The next prime is 3500138723233. The reversal of 3500138723200 is 23278310053.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4064997 + ... + 4850203.

It is an arithmetic number, because the mean of its divisors is an integer number (51725577000).

Almost surely, 2^{3500138723200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3500138723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965655392000).

3500138723200 is an abundant number, since it is smaller than the sum of its proper divisors (6431172060800).

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

3500138723200 is a wasteful number, since it uses less digits than its factorization.

3500138723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785437 (or 785420 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 3500138723200 in words is "three trillion, five hundred billion, one hundred thirty-eight million, seven hundred twenty-three thousand, two hundred".