3652084338 has 64 divisors (see below), whose sum is σ = 8454367488. Its totient is φ = 1030164480.

The previous prime is 3652084277. The next prime is 3652084343. The reversal of 3652084338 is 8334802563.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3652084338.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2203206 + ... + 2204862.

It is an arithmetic number, because the mean of its divisors is an integer number (132099492).

Almost surely, 2^3652084338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3652084338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227183744).

3652084338 is an abundant number, since it is smaller than the sum of its proper divisors (4802283150).

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

3652084338 is a wasteful number, since it uses less digits than its factorization.

3652084338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307.

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 3652084338 is about 60432.4775100277. The cubic root of 3652084338 is about 1539.9747477166.

The spelling of 3652084338 in words is "three billion, six hundred fifty-two million, eighty-four thousand, three hundred thirty-eight".