3824606016 has 504 divisors, whose sum is σ = 14165738496. Its totient is φ = 975421440.

The previous prime is 3824605987. The next prime is 3824606017. The reversal of 3824606016 is 6106064283.

3824606016 is a `hidden beast` number, since 3 + 8 + 2 + 46 + 0 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3824606016² = 29255222355246784512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3824606017) 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, 30114945 + ... + 30115071.

It is an arithmetic number, because the mean of its divisors is an integer number (28106624).

Almost surely, 2^3824606016 is an apocalyptic number.

3824606016 is a gapful number since it is divisible by the number (36) 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 3824606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082869248).

3824606016 is an abundant number, since it is smaller than the sum of its proper divisors (10341132480).

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

3824606016 is a wasteful number, since it uses less digits than its factorization.

3824606016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3824606016 is about 61843.3991303842. The cubic root of 3824606016 is about 1563.8517050325.

The spelling of 3824606016 in words is "three billion, eight hundred twenty-four million, six hundred six thousand, sixteen".