3828361746 has 64 divisors (see below), whose sum is σ = 8657953920. Its totient is φ = 1117885440.

The previous prime is 3828361741. The next prime is 3828361763. The reversal of 3828361746 is 6471638283.

3828361746 is a modest number, since divided by 361746 gives 3828 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3828361695 and 3828361704.

It is not an unprimeable number, because it can be changed into a prime (3828361741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133316 + ... + 1136688.

It is an arithmetic number, because the mean of its divisors is an integer number (135280530).

Almost surely, 2^3828361746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3828361746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328976960).

3828361746 is an abundant number, since it is smaller than the sum of its proper divisors (4829592174).

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

3828361746 is a wasteful number, since it uses less digits than its factorization.

3828361746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011.

The product of its digits is 1161216, while the sum is 48.

The square root of 3828361746 is about 61873.7565208385. The cubic root of 3828361746 is about 1564.3634338436.

The spelling of 3828361746 in words is "three billion, eight hundred twenty-eight million, three hundred sixty-one thousand, seven hundred forty-six".