3824406760 has 64 divisors (see below), whose sum is σ = 8893094400. Its totient is φ = 1478649600.

The previous prime is 3824406737. The next prime is 3824406767. The reversal of 3824406760 is 676044283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3824406767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599646 + ... + 1602034.

It is an arithmetic number, because the mean of its divisors is an integer number (138954600).

Almost surely, 2^3824406760 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 3824406760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446547200).

3824406760 is an abundant number, since it is smaller than the sum of its proper divisors (5068687640).

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

3824406760 is a wasteful number, since it uses less digits than its factorization.

3824406760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 3824406760 is about 61841.7881371488. The cubic root of 3824406760 is about 1563.8245464838.

The spelling of 3824406760 in words is "three billion, eight hundred twenty-four million, four hundred six thousand, seven hundred sixty".