3790665000 has 320 divisors, whose sum is σ = 13484433600. Its totient is φ = 985824000.

The previous prime is 3790664971. The next prime is 3790665013. The reversal of 3790665000 is 5660973.

It is a happy number.

3790665000 is a `hidden beast` number, since 3 + 7 + 90 + 66 + 500 + 0 = 666.

3790665000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3790665000² = 28738282284450000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5804674 + ... + 5805326.

It is an arithmetic number, because the mean of its divisors is an integer number (42138855).

Almost surely, 2^3790665000 is an apocalyptic number.

3790665000 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 3790665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742216800).

3790665000 is an abundant number, since it is smaller than the sum of its proper divisors (9693768600).

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

3790665000 is a wasteful number, since it uses less digits than its factorization.

3790665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3790665000 is about 61568.3766230684. The cubic root of 3790665000 is about 1559.2118800113.

The spelling of 3790665000 in words is "three billion, seven hundred ninety million, six hundred sixty-five thousand".