3616164480 has 128 divisors (see below), whose sum is σ = 11578697280. Its totient is φ = 959946752.

The previous prime is 3616164451. The next prime is 3616164481. The reversal of 3616164480 is 844616163.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3616164481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 431692 + ... + 439988.

Almost surely, 2^3616164480 is an apocalyptic number.

3616164480 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 3616164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789348640).

3616164480 is an abundant number, since it is smaller than the sum of its proper divisors (7962532800).

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

3616164480 is a wasteful number, since it uses less digits than its factorization.

3616164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546 (or 8534 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3616164480 is about 60134.5531287961. The cubic root of 3616164480 is about 1534.9093277228.

The spelling of 3616164480 in words is "three billion, six hundred sixteen million, one hundred sixty-four thousand, four hundred eighty".