3762766000 has 160 divisors (see below), whose sum is σ = 10439724672. Its totient is φ = 1284940800.

The previous prime is 3762765967. The next prime is 3762766003. The reversal of 3762766000 is 6672673.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3762766003) 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 31 ways as a sum of consecutive naturals, for example, 5557662 + ... + 5558338.

Almost surely, 2^3762766000 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 3762766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219862336).

3762766000 is an abundant number, since it is smaller than the sum of its proper divisors (6676958672).

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

3762766000 is a wasteful number, since it uses less digits than its factorization.

3762766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The square root of 3762766000 is about 61341.3889637331. The cubic root of 3762766000 is about 1555.3772308809.

The spelling of 3762766000 in words is "three billion, seven hundred sixty-two million, seven hundred sixty-six thousand".