3706830000 has 200 divisors, whose sum is σ = 13296681200. Its totient is φ = 988416000.

The previous prime is 3706829977. The next prime is 3706830031. The reversal of 3706830000 is 386073.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263136 + ... + 276864.

It is an arithmetic number, because the mean of its divisors is an integer number (66483406).

Almost surely, 2^3706830000 is an apocalyptic number.

3706830000 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 3706830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648340600).

3706830000 is an abundant number, since it is smaller than the sum of its proper divisors (9589851200).

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

3706830000 is a wasteful number, since it uses less digits than its factorization.

3706830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13766 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3706830000 is about 60883.7416721410. The cubic root of 3706830000 is about 1547.6314849005.

The spelling of 3706830000 in words is "three billion, seven hundred six million, eight hundred thirty thousand".