3642089472 has 168 divisors, whose sum is σ = 12025646256. Its totient is φ = 1040449536.

The previous prime is 3642089459. The next prime is 3642089489. The reversal of 3642089472 is 2749802463.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 512568 + ... + 519624.

Almost surely, 2^3642089472 is an apocalyptic number.

3642089472 is a gapful number since it is divisible by the number (32) 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 3642089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012823128).

3642089472 is an abundant number, since it is smaller than the sum of its proper divisors (8383556784).

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

3642089472 is an equidigital number, since it uses as much as digits as its factorization.

3642089472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3642089472 is about 60349.7263622628. The cubic root of 3642089472 is about 1538.5686188278.

It can be divided in two parts, 364208 and 9472, that added together give a triangular number (373680 = T₈₆₄).

The spelling of 3642089472 in words is "three billion, six hundred forty-two million, eighty-nine thousand, four hundred seventy-two".