3792187601316 has 81 divisors (see below), whose sum is σ = 9752805528193. Its totient is φ = 1242411852000.

The previous prime is 3792187601311. The next prime is 3792187601333. The reversal of 3792187601316 is 6131067812973.

The square root of 3792187601316 is 1947354.

It is a perfect power (a square), and thus also a powerful number.

3792187601316 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 18 + 7 + 601 + 3 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3723564559716 + 68623041600 = 1929654^2 + 261960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3792187601311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 689360566 + ... + 689366066.

Almost surely, 2^{3792187601316} is an apocalyptic number.

3792187601316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3792187601316 is the 1947354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3792187601316

3792187601316 is an abundant number, since it is smaller than the sum of its proper divisors (5960617926877).

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

3792187601316 is an frugal number, since it uses more digits than its factorization.

3792187601316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 3792187601316 in words is "three trillion, seven hundred ninety-two billion, one hundred eighty-seven million, six hundred one thousand, three hundred sixteen".