3696960960 has 448 divisors, whose sum is σ = 16263152640. Its totient is φ = 768061440.

The previous prime is 3696960901. The next prime is 3696961013. The reversal of 3696960960 is 690696963.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 3696960897 and 3696960906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 662502 + ... + 668058.

It is an arithmetic number, because the mean of its divisors is an integer number (36301680).

Almost surely, 2^3696960960 is an apocalyptic number.

3696960960 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 3696960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131576320).

3696960960 is an abundant number, since it is smaller than the sum of its proper divisors (12566191680).

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

3696960960 is a wasteful number, since it uses less digits than its factorization.

3696960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The square root of 3696960960 is about 60802.6394163938. The cubic root of 3696960960 is about 1546.2567962020.

The spelling of 3696960960 in words is "three billion, six hundred ninety-six million, nine hundred sixty thousand, nine hundred sixty".