3841504128 has 576 divisors, whose sum is σ = 14447247360. Its totient is φ = 958003200.

The previous prime is 3841504123. The next prime is 3841504133. The reversal of 3841504128 is 8214051483.

3841504128 is a `hidden beast` number, since 384 + 150 + 4 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (3841504123) and next prime (3841504133).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 3841504092 and 3841504101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3841504123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30248001 + ... + 30248127.

Almost surely, 2^3841504128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3841504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223623680).

3841504128 is an abundant number, since it is smaller than the sum of its proper divisors (10605743232).

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

3841504128 is a wasteful number, since it uses less digits than its factorization.

3841504128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3841504128 is about 61979.8687317100. The cubic root of 3841504128 is about 1566.1514902650.

The spelling of 3841504128 in words is "three billion, eight hundred forty-one million, five hundred four thousand, one hundred twenty-eight".