3500720198352 has 240 divisors, whose sum is σ = 10815200939088. Its totient is φ = 1050184212480.

The previous prime is 3500720198309. The next prime is 3500720198359. The reversal of 3500720198352 is 2538910270053.

3500720198352 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 7 + 201 + 98 + 352 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 738595861056 + 2762124337296 = 859416^2 + 1661964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3500720198298 and 3500720198307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3500720198359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123786838 + ... + 123815114.

Almost surely, 2^{3500720198352} 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 3500720198352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407600469544).

3500720198352 is an abundant number, since it is smaller than the sum of its proper divisors (7314480740736).

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

3500720198352 is a wasteful number, since it uses less digits than its factorization.

3500720198352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29958 (or 29949 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 3500720198352 in words is "three trillion, five hundred billion, seven hundred twenty million, one hundred ninety-eight thousand, three hundred fifty-two".