3713098960200 has 480 divisors, whose sum is σ = 13450191364800. Its totient is φ = 847321735680.

The previous prime is 3713098960169. The next prime is 3713098960217. The reversal of 3713098960200 is 20698903173.

It is a super-3 number, since 3×3713098960200³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3713098960200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1070364066 + ... + 1070367534.

It is an arithmetic number, because the mean of its divisors is an integer number (28021232010).

Almost surely, 2^{3713098960200} is an apocalyptic number.

3713098960200 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 3713098960200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725095682400).

3713098960200 is an abundant number, since it is smaller than the sum of its proper divisors (9737092404600).

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

3713098960200 is a wasteful number, since it uses less digits than its factorization.

3713098960200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 3713098960200 in words is "three trillion, seven hundred thirteen billion, ninety-eight million, nine hundred sixty thousand, two hundred".