3788919630 has 96 divisors (see below), whose sum is σ = 10100993760. Its totient is φ = 984856320.

The previous prime is 3788919601. The next prime is 3788919647. The reversal of 3788919630 is 369198873.

3788919630 is a `hidden beast` number, since 378 + 89 + 196 + 3 + 0 = 666.

It is a super-3 number, since 3×3788919630³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3207640 + ... + 3208820.

It is an arithmetic number, because the mean of its divisors is an integer number (105218685).

Almost surely, 2^3788919630 is an apocalyptic number.

3788919630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3788919630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050496880).

3788919630 is an abundant number, since it is smaller than the sum of its proper divisors (6312074130).

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

3788919630 is a wasteful number, since it uses less digits than its factorization.

3788919630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 3788919630 is about 61554.2007502331. The cubic root of 3788919630 is about 1558.9725359538.

It can be divided in two parts, 378891 and 9630, that added together give a triangular number (388521 = T₈₈₁).

The spelling of 3788919630 in words is "three billion, seven hundred eighty-eight million, nine hundred nineteen thousand, six hundred thirty".