3838752960 has 224 divisors, whose sum is σ = 14306580480. Its totient is φ = 853659648.

The previous prime is 3838752947. The next prime is 3838752977. The reversal of 3838752960 is 692578383.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240921 + ... + 256359.

Almost surely, 2^3838752960 is an apocalyptic number.

3838752960 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 3838752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153290240).

3838752960 is an abundant number, since it is smaller than the sum of its proper divisors (10467827520).

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

3838752960 is a wasteful number, since it uses less digits than its factorization.

3838752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15503 (or 15493 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 3838752960 is about 61957.6707115431. The cubic root of 3838752960 is about 1565.7775243455. Note that the first 3 decimals are identical.

The spelling of 3838752960 in words is "three billion, eight hundred thirty-eight million, seven hundred fifty-two thousand, nine hundred sixty".