3786198891552 has 960 divisors, whose sum is σ = 14758729058304. Its totient is φ = 921842933760.

The previous prime is 3786198891443. The next prime is 3786198891557. The reversal of 3786198891552 is 2551988916873.

3786198891552 is a `hidden beast` number, since 3 + 7 + 8 + 61 + 9 + 8 + 8 + 9 + 1 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3786198891557) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 892337943 + ... + 892342185.

Almost surely, 2^{3786198891552} is an apocalyptic number.

3786198891552 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 3786198891552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379364529152).

3786198891552 is an abundant number, since it is smaller than the sum of its proper divisors (10972530166752).

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

3786198891552 is a wasteful number, since it uses less digits than its factorization.

3786198891552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4546 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 72.

The spelling of 3786198891552 in words is "three trillion, seven hundred eighty-six billion, one hundred ninety-eight million, eight hundred ninety-one thousand, five hundred fifty-two".