3582020736 has 576 divisors, whose sum is σ = 13060569600. Its totient is φ = 936714240.

The previous prime is 3582020707. The next prime is 3582020737. The reversal of 3582020736 is 6370202853.

3582020736 is a `hidden beast` number, since 3 + 582 + 0 + 2 + 0 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3582020736.

It is not an unprimeable number, because it can be changed into a prime (3582020737) 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 71 ways as a sum of consecutive naturals, for example, 40247380 + ... + 40247468.

It is an arithmetic number, because the mean of its divisors is an integer number (22674600).

Almost surely, 2^3582020736 is an apocalyptic number.

3582020736 is a gapful number since it is divisible by the number (36) 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 3582020736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530284800).

3582020736 is an abundant number, since it is smaller than the sum of its proper divisors (9478548864).

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

3582020736 is a wasteful number, since it uses less digits than its factorization.

3582020736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3582020736 is about 59849.9852631561. The cubic root of 3582020736 is about 1530.0631833448.

The spelling of 3582020736 in words is "three billion, five hundred eighty-two million, twenty thousand, seven hundred thirty-six".