3661627392 has 138 divisors (see below), whose sum is σ = 10687085318. Its totient is φ = 1207959552.

The previous prime is 3661627391. The next prime is 3661627421. The reversal of 3661627392 is 2937261663.

3661627392 is a `hidden beast` number, since 3 + 6 + 616 + 27 + 3 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3057647616 + 603979776 = 55296^2 + 24576^2 .

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (3661627391) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37748688 + ... + 37748784.

Almost surely, 2^3661627392 is an apocalyptic number.

3661627392 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 3661627392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343542659).

3661627392 is an abundant number, since it is smaller than the sum of its proper divisors (7025457926).

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

3661627392 is an frugal number, since it uses more digits than its factorization.

3661627392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 3661627392 is about 60511.3823342353. The cubic root of 3661627392 is about 1541.3149212436.

The spelling of 3661627392 in words is "three billion, six hundred sixty-one million, six hundred twenty-seven thousand, three hundred ninety-two".