3896040960 has 960 divisors, whose sum is σ = 17235504000. Its totient is φ = 809238528.

The previous prime is 3896040937. The next prime is 3896041003. The reversal of 3896040960 is 690406983.

3896040960 is a `hidden beast` number, since 38 + 9 + 604 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134346226 + ... + 134346254.

It is an arithmetic number, because the mean of its divisors is an integer number (17953650).

Almost surely, 2^3896040960 is an apocalyptic number.

3896040960 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 3896040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617752000).

3896040960 is an abundant number, since it is smaller than the sum of its proper divisors (13339463040).

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

3896040960 is a wasteful number, since it uses less digits than its factorization.

3896040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3896040960 is about 62418.2742472106. The cubic root of 3896040960 is about 1573.5281063729.

The spelling of 3896040960 in words is "three billion, eight hundred ninety-six million, forty thousand, nine hundred sixty".