3765274773120 has 1536 divisors, whose sum is σ = 16695532339200. Its totient is φ = 761173770240.

The previous prime is 3765274773053. The next prime is 3765274773179. The reversal of 3765274773120 is 213774725673.

3765274773120 is a `hidden beast` number, since 3 + 7 + 6 + 527 + 47 + 73 + 1 + 2 + 0 = 666.

3765274773120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1706059057 + ... + 1706061263.

It is an arithmetic number, because the mean of its divisors is an integer number (10869487200).

Almost surely, 2^{3765274773120} is an apocalyptic number.

3765274773120 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 3765274773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347766169600).

3765274773120 is an abundant number, since it is smaller than the sum of its proper divisors (12930257566080).

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

3765274773120 is a wasteful number, since it uses less digits than its factorization.

3765274773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 54.

The spelling of 3765274773120 in words is "three trillion, seven hundred sixty-five billion, two hundred seventy-four million, seven hundred seventy-three thousand, one hundred twenty".