3824765700 has 144 divisors (see below), whose sum is σ = 12739184640. Its totient is φ = 867876480.

The previous prime is 3824765687. The next prime is 3824765701. The reversal of 3824765700 is 75674283.

3824765700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3824765701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285349 + ... + 298451.

It is an arithmetic number, because the mean of its divisors is an integer number (88466560).

Almost surely, 2^3824765700 is an apocalyptic number.

3824765700 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 3824765700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369592320).

3824765700 is an abundant number, since it is smaller than the sum of its proper divisors (8914418940).

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

3824765700 is a wasteful number, since it uses less digits than its factorization.

3824765700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13266 (or 13259 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 3824765700 is about 61844.6901520252. The cubic root of 3824765700 is about 1563.8734692455.

The spelling of 3824765700 in words is "three billion, eight hundred twenty-four million, seven hundred sixty-five thousand, seven hundred".