3824143680 has 448 divisors, whose sum is σ = 14876190720. Its totient is φ = 812851200.

The previous prime is 3824143679. The next prime is 3824143703. The reversal of 3824143680 is 863414283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×3824143680³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7788235 + ... + 7788725.

Almost surely, 2^3824143680 is an apocalyptic number.

3824143680 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 3824143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438095360).

3824143680 is an abundant number, since it is smaller than the sum of its proper divisors (11052047040).

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

3824143680 is a wasteful number, since it uses less digits than its factorization.

3824143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3824143680 is about 61839.6610598732. The cubic root of 3824143680 is about 1563.7886872929.

The spelling of 3824143680 in words is "three billion, eight hundred twenty-four million, one hundred forty-three thousand, six hundred eighty".