3646668480 has 560 divisors, whose sum is σ = 15089306880. Its totient is φ = 728911872.

The previous prime is 3646668463. The next prime is 3646668497. The reversal of 3646668480 is 848666463.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3646668463) and next prime (3646668497).

It is a tau number, because it is divible by the number of its divisors (560).

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, 191929911 + ... + 191929929.

Almost surely, 2^3646668480 is an apocalyptic number.

3646668480 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 3646668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544653440).

3646668480 is an abundant number, since it is smaller than the sum of its proper divisors (11442638400).

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

3646668480 is an equidigital number, since it uses as much as digits as its factorization.

3646668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The square root of 3646668480 is about 60387.6517178802. The cubic root of 3646668480 is about 1539.2131359970.

The spelling of 3646668480 in words is "three billion, six hundred forty-six million, six hundred sixty-eight thousand, four hundred eighty".