3665641500 has 384 divisors, whose sum is σ = 12915302400. Its totient is φ = 894240000.

The previous prime is 3665641471. The next prime is 3665641501. The reversal of 3665641500 is 51465663.

3665641500 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 641 + 5 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3665641501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7951270 + ... + 7951730.

It is an arithmetic number, because the mean of its divisors is an integer number (33633600).

Almost surely, 2^3665641500 is an apocalyptic number.

3665641500 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 3665641500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457651200).

3665641500 is an abundant number, since it is smaller than the sum of its proper divisors (9249660900).

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

3665641500 is a wasteful number, since it uses less digits than its factorization.

3665641500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3665641500 is about 60544.5414550313. The cubic root of 3665641500 is about 1541.8779445852.

The spelling of 3665641500 in words is "three billion, six hundred sixty-five million, six hundred forty-one thousand, five hundred".