3838933980 has 288 divisors, whose sum is σ = 14168125440. Its totient is φ = 844473600.

The previous prime is 3838933961. The next prime is 3838933993. The reversal of 3838933980 is 893398383.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21209490 + ... + 21209670.

It is an arithmetic number, because the mean of its divisors is an integer number (49194880).

Almost surely, 2^3838933980 is an apocalyptic number.

3838933980 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 3838933980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084062720).

3838933980 is an abundant number, since it is smaller than the sum of its proper divisors (10329191460).

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

3838933980 is a wasteful number, since it uses less digits than its factorization.

3838933980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3838933980 is about 61959.1315303886. The cubic root of 3838933980 is about 1565.8021358617.

The spelling of 3838933980 in words is "three billion, eight hundred thirty-eight million, nine hundred thirty-three thousand, nine hundred eighty".