3641573376 has 360 divisors, whose sum is σ = 12687721200. Its totient is φ = 1040449536.

The previous prime is 3641573357. The next prime is 3641573389. The reversal of 3641573376 is 6733751463.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3641573376 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 573 + 3 + 76 = 666.

It is a super-3 number, since 3×3641573376³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (952560) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 520224765 + ... + 520224771.

It is an arithmetic number, because the mean of its divisors is an integer number (35243670).

Almost surely, 2^3641573376 is an apocalyptic number.

3641573376 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 3641573376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343860600).

3641573376 is an abundant number, since it is smaller than the sum of its proper divisors (9046147824).

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

3641573376 is an frugal number, since it uses more digits than its factorization.

3641573376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 12 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The square root of 3641573376 is about 60345.4503338901. The cubic root of 3641573376 is about 1538.4959419917.

The spelling of 3641573376 in words is "three billion, six hundred forty-one million, five hundred seventy-three thousand, three hundred seventy-six".