3789630000 has 600 divisors, whose sum is σ = 14805510720. Its totient is φ = 898560000.

The previous prime is 3789629993. The next prime is 3789630007. The reversal of 3789630000 is 369873.

It is an interprime number because it is at equal distance from previous prime (3789629993) and next prime (3789630007).

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×3789630000² = 28722591073800000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3789630007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47969961 + ... + 47970039.

Almost surely, 2^3789630000 is an apocalyptic number.

3789630000 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 3789630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402755360).

3789630000 is an abundant number, since it is smaller than the sum of its proper divisors (11015880720).

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

3789630000 is a wasteful number, since it uses less digits than its factorization.

3789630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3789630000 is about 61559.9707602270. The cubic root of 3789630000 is about 1559.0699584581.

Adding to 3789630000 its reverse (369873), we get a palindrome (3789999873).

It can be divided in two parts, 37896 and 30000, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 3789630000 in words is "three billion, seven hundred eighty-nine million, six hundred thirty thousand".