3786485466960 has 480 divisors, whose sum is σ = 15179648440320. Its totient is φ = 859251608064.

The previous prime is 3786485466943. The next prime is 3786485466971. The reversal of 3786485466960 is 696645846873.

3786485466960 is a `hidden beast` number, since 3 + 7 + 86 + 4 + 85 + 466 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18815029 + ... + 19015211.

It is an arithmetic number, because the mean of its divisors is an integer number (31624267584).

Almost surely, 2^{3786485466960} is an apocalyptic number.

3786485466960 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 3786485466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589824220160).

3786485466960 is an abundant number, since it is smaller than the sum of its proper divisors (11393162973360).

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

3786485466960 is a wasteful number, since it uses less digits than its factorization.

3786485466960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200357 (or 200339 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 3786485466960 in words is "three trillion, seven hundred eighty-six billion, four hundred eighty-five million, four hundred sixty-six thousand, nine hundred sixty".