3965038560 has 768 divisors, whose sum is σ = 17108582400. Its totient is φ = 837568512.

The previous prime is 3965038559. The next prime is 3965038573. The reversal of 3965038560 is 658305693.

3965038560 is a `hidden beast` number, since 3 + 9 + 6 + 50 + 38 + 560 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38495469 + ... + 38495571.

It is an arithmetic number, because the mean of its divisors is an integer number (22276800).

Almost surely, 2^3965038560 is an apocalyptic number.

3965038560 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 3965038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8554291200).

3965038560 is an abundant number, since it is smaller than the sum of its proper divisors (13143543840).

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

3965038560 is a wasteful number, since it uses less digits than its factorization.

3965038560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3965038560 is about 62968.5521510539. The cubic root of 3965038560 is about 1582.7626930769.

It can be divided in two parts, 39650 and 38560, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 3965038560 in words is "three billion, nine hundred sixty-five million, thirty-eight thousand, five hundred sixty".