3786473789952 has 320 divisors, whose sum is σ = 12281483934720. Its totient is φ = 1012557348864.

The previous prime is 3786473789951. The next prime is 3786473789981. The reversal of 3786473789952 is 2599873746873.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3786473789951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16844248 + ... + 17067560.

It is an arithmetic number, because the mean of its divisors is an integer number (38379637296).

Almost surely, 2^{3786473789952} is an apocalyptic number.

3786473789952 is a gapful number since it is divisible by the number (32) 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 3786473789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140741967360).

3786473789952 is an abundant number, since it is smaller than the sum of its proper divisors (8495010144768).

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

3786473789952 is a wasteful number, since it uses less digits than its factorization.

3786473789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223443 (or 223427 counting only the distinct ones).

The product of its digits is 3840721920, while the sum is 78.

The spelling of 3786473789952 in words is "three trillion, seven hundred eighty-six billion, four hundred seventy-three million, seven hundred eighty-nine thousand, nine hundred fifty-two".