3965520000 has 640 divisors, whose sum is σ = 14989201920. Its totient is φ = 921600000.

The previous prime is 3965519989. The next prime is 3965520017. The reversal of 3965520000 is 255693.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3965520000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96719980 + ... + 96720020.

It is an arithmetic number, because the mean of its divisors is an integer number (23420628).

Almost surely, 2^3965520000 is an apocalyptic number.

3965520000 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 3965520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7494600960).

3965520000 is an abundant number, since it is smaller than the sum of its proper divisors (11023681920).

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

3965520000 is a wasteful number, since it uses less digits than its factorization.

3965520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 3965520000 is about 62972.3748956636. The cubic root of 3965520000 is about 1582.8267508341.

Adding to 3965520000 its reverse (255693), we get a palindrome (3965775693).

The spelling of 3965520000 in words is "three billion, nine hundred sixty-five million, five hundred twenty thousand".