3647980960 has 192 divisors, whose sum is σ = 9642955392. Its totient is φ = 1295364096.

The previous prime is 3647980951. The next prime is 3647980991. The reversal of 3647980960 is 690897463.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 3647980898 and 3647980907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8234499 + ... + 8234941.

It is an arithmetic number, because the mean of its divisors is an integer number (50223726).

Almost surely, 2^3647980960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3647980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821477696).

3647980960 is an abundant number, since it is smaller than the sum of its proper divisors (5994974432).

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

3647980960 is a wasteful number, since it uses less digits than its factorization.

3647980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 3647980960 is about 60398.5178626098. The cubic root of 3647980960 is about 1539.3977743094.

The spelling of 3647980960 in words is "three billion, six hundred forty-seven million, nine hundred eighty thousand, nine hundred sixty".