3965189760 has 640 divisors, whose sum is σ = 16587648000. Its totient is φ = 902264832.

The previous prime is 3965189759. The next prime is 3965189773. The reversal of 3965189760 is 679815693.

3965189760 is a `hidden beast` number, since 39 + 6 + 518 + 97 + 6 + 0 = 666.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 3965189697 and 3965189706.

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, 17781009 + ... + 17781231.

It is an arithmetic number, because the mean of its divisors is an integer number (25918200).

Almost surely, 2^3965189760 is an apocalyptic number.

3965189760 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 3965189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293824000).

3965189760 is an abundant number, since it is smaller than the sum of its proper divisors (12622458240).

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

3965189760 is an equidigital number, since it uses as much as digits as its factorization.

3965189760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 3965189760 is about 62969.7527389143. The cubic root of 3965189760 is about 1582.7828114754.

The spelling of 3965189760 in words is "three billion, nine hundred sixty-five million, one hundred eighty-nine thousand, seven hundred sixty".