3643548480 has 560 divisors, whose sum is σ = 15242097024. Its totient is φ = 814510080.

The previous prime is 3643548449. The next prime is 3643548499. The reversal of 3643548480 is 848453463.

3643548480 is a `hidden beast` number, since 3 + 64 + 3 + 548 + 48 + 0 = 666.

It is a super-2 number, since 2×3643548480² = 26550891052220620800, which contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3706069 + ... + 3707051.

Almost surely, 2^3643548480 is an apocalyptic number.

3643548480 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 3643548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621048512).

3643548480 is an abundant number, since it is smaller than the sum of its proper divisors (11598548544).

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

3643548480 is a wasteful number, since it uses less digits than its factorization.

3643548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3643548480 is about 60361.8130940415. The cubic root of 3643548480 is about 1538.7740397596.

The spelling of 3643548480 in words is "three billion, six hundred forty-three million, five hundred forty-eight thousand, four hundred eighty".