3841516224 has 336 divisors, whose sum is σ = 13730825472. Its totient is φ = 999806976.

The previous prime is 3841516213. The next prime is 3841516243. The reversal of 3841516224 is 4226151483.

It is a happy number.

3841516224 is a `hidden beast` number, since 3 + 8 + 415 + 16 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4350087 + ... + 4350969.

It is an arithmetic number, because the mean of its divisors is an integer number (40865552).

Almost surely, 2^3841516224 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 3841516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865412736).

3841516224 is an abundant number, since it is smaller than the sum of its proper divisors (9889309248).

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

3841516224 is a wasteful number, since it uses less digits than its factorization.

3841516224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 991 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3841516224 is about 61979.9663117043. The cubic root of 3841516224 is about 1566.1531340784.

The spelling of 3841516224 in words is "three billion, eight hundred forty-one million, five hundred sixteen thousand, two hundred twenty-four".