3643996680 has 192 divisors, whose sum is σ = 12554697600. Its totient is φ = 940118400.

The previous prime is 3643996639. The next prime is 3643996717. The reversal of 3643996680 is 866993463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1036125 + ... + 1039635.

It is an arithmetic number, because the mean of its divisors is an integer number (65389050).

Almost surely, 2^3643996680 is an apocalyptic number.

3643996680 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 3643996680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277348800).

3643996680 is an abundant number, since it is smaller than the sum of its proper divisors (8910700920).

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

3643996680 is a wasteful number, since it uses less digits than its factorization.

3643996680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 3643996680 is about 60365.5255920132. The cubic root of 3643996680 is about 1538.8371330372.

The spelling of 3643996680 in words is "three billion, six hundred forty-three million, nine hundred ninety-six thousand, six hundred eighty".