3666788352 has 210 divisors, whose sum is σ = 11030813948. Its totient is φ = 1218281472.

The previous prime is 3666788347. The next prime is 3666788353. The reversal of 3666788352 is 2538876663.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3666788353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11943783 + ... + 11944089.

Almost surely, 2^3666788352 is an apocalyptic number.

3666788352 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 3666788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515406974).

3666788352 is an abundant number, since it is smaller than the sum of its proper divisors (7364025596).

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

3666788352 is an frugal number, since it uses more digits than its factorization.

3666788352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 312 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3666788352 is about 60554.0118571842. The cubic root of 3666788352 is about 1542.0387278499.

The spelling of 3666788352 in words is "three billion, six hundred sixty-six million, seven hundred eighty-eight thousand, three hundred fifty-two".