3642766600 has 144 divisors (see below), whose sum is σ = 9552580560. Its totient is φ = 1281168000.

The previous prime is 3642766591. The next prime is 3642766601. The reversal of 3642766600 is 66672463.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3642766601) 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 35 ways as a sum of consecutive naturals, for example, 2113339 + ... + 2115061.

It is an arithmetic number, because the mean of its divisors is an integer number (66337365).

Almost surely, 2^3642766600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642766600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776290280).

3642766600 is an abundant number, since it is smaller than the sum of its proper divisors (5909813960).

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

3642766600 is a wasteful number, since it uses less digits than its factorization.

3642766600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 3642766600 is about 60355.3361352582. The cubic root of 3642766600 is about 1538.6639618393.

The spelling of 3642766600 in words is "three billion, six hundred forty-two million, seven hundred sixty-six thousand, six hundred".