3713795205120 has 4032 divisors, whose sum is σ = 18515777454720. Its totient is φ = 702303436800.

The previous prime is 3713795205103. The next prime is 3713795205151. The reversal of 3713795205120 is 215025973173.

3713795205120 is a `hidden beast` number, since 3 + 7 + 1 + 3 + 79 + 520 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 52306974685 + ... + 52306974755.

It is an arithmetic number, because the mean of its divisors is an integer number (4592206710).

Almost surely, 2^{3713795205120} is an apocalyptic number.

3713795205120 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 3713795205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9257888727360).

3713795205120 is an abundant number, since it is smaller than the sum of its proper divisors (14801982249600).

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

3713795205120 is a wasteful number, since it uses less digits than its factorization.

3713795205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 3713795205120 in words is "three trillion, seven hundred thirteen billion, seven hundred ninety-five million, two hundred five thousand, one hundred twenty".