3643476480 has 960 divisors, whose sum is σ = 16086470400. Its totient is φ = 743178240.

The previous prime is 3643476449. The next prime is 3643476491. The reversal of 3643476480 is 846743463.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88865260 + ... + 88865300.

It is an arithmetic number, because the mean of its divisors is an integer number (16756740).

Almost surely, 2^3643476480 is an apocalyptic number.

3643476480 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 3643476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043235200).

3643476480 is an abundant number, since it is smaller than the sum of its proper divisors (12442993920).

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

3643476480 is a wasteful number, since it uses less digits than its factorization.

3643476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3643476480 is about 60361.2166875387. The cubic root of 3643476480 is about 1538.7639038110.

The spelling of 3643476480 in words is "three billion, six hundred forty-three million, four hundred seventy-six thousand, four hundred eighty".