3682129824 has 144 divisors (see below), whose sum is σ = 11269669320. Its totient is φ = 1136148480.

The previous prime is 3682129819. The next prime is 3682129859. The reversal of 3682129824 is 4289212863.

It can be written as a sum of positive squares in 4 ways, for example, as 1349239824 + 2332890000 = 36732^2 + 48300^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3682129824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292492 + ... + 304820.

Almost surely, 2^3682129824 is an apocalyptic number.

3682129824 is a gapful number since it is divisible by the number (34) 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 3682129824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634834660).

3682129824 is an abundant number, since it is smaller than the sum of its proper divisors (7587539496).

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

3682129824 is a wasteful number, since it uses less digits than its factorization.

3682129824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12423 (or 12412 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 3682129824 is about 60680.5555676610. Note that the first 4 decimals coincide. The cubic root of 3682129824 is about 1544.1863136152.

The spelling of 3682129824 in words is "three billion, six hundred eighty-two million, one hundred twenty-nine thousand, eight hundred twenty-four".