3753666000 has 480 divisors, whose sum is σ = 15482628096. Its totient is φ = 830304000.

The previous prime is 3753665983. The next prime is 3753666001. The reversal of 3753666000 is 6663573.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3753666001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121085985 + ... + 121086015.

Almost surely, 2^3753666000 is an apocalyptic number.

3753666000 is a gapful number since it is divisible by the number (30) 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 3753666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741314048).

3753666000 is an abundant number, since it is smaller than the sum of its proper divisors (11728962096).

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

3753666000 is an equidigital number, since it uses as much as digits as its factorization.

3753666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3753666000 is about 61267.1690222422. The cubic root of 3753666000 is about 1554.1223598390.

The spelling of 3753666000 in words is "three billion, seven hundred fifty-three million, six hundred sixty-six thousand".