3824963520 has 672 divisors, whose sum is σ = 15166457856. Its totient is φ = 812851200.

The previous prime is 3824963507. The next prime is 3824963533. The reversal of 3824963520 is 253694283.

It is an interprime number because it is at equal distance from previous prime (3824963507) and next prime (3824963533).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62704290 + ... + 62704350.

Almost surely, 2^3824963520 is an apocalyptic number.

3824963520 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 3824963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583228928).

3824963520 is an abundant number, since it is smaller than the sum of its proper divisors (11341494336).

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

3824963520 is a wasteful number, since it uses less digits than its factorization.

3824963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3824963520 is about 61846.2894602417. The cubic root of 3824963520 is about 1563.9004303843.

The spelling of 3824963520 in words is "three billion, eight hundred twenty-four million, nine hundred sixty-three thousand, five hundred twenty".