3649889520 has 240 divisors, whose sum is σ = 12625790112. Its totient is φ = 944486400.

The previous prime is 3649889513. The next prime is 3649889539. The reversal of 3649889520 is 259889463.

3649889520 is a `hidden beast` number, since 36 + 4 + 9 + 8 + 89 + 520 = 666.

3649889520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3853687 + ... + 3854633.

Almost surely, 2^3649889520 is an apocalyptic number.

3649889520 is a gapful number since it is divisible by the number (30) 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 3649889520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6312895056).

3649889520 is an abundant number, since it is smaller than the sum of its proper divisors (8975900592).

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

3649889520 is a wasteful number, since it uses less digits than its factorization.

3649889520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 3649889520 is about 60414.3155220681. The cubic root of 3649889520 is about 1539.6661895251. Note that the first 3 decimals are identical.

The spelling of 3649889520 in words is "three billion, six hundred forty-nine million, eight hundred eighty-nine thousand, five hundred twenty".