3685543680 has 576 divisors, whose sum is σ = 14834534400. Its totient is φ = 759103488.

The previous prime is 3685543661. The next prime is 3685543699. The reversal of 3685543680 is 863455863.

It is an interprime number because it is at equal distance from previous prime (3685543661) and next prime (3685543699).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18520221 + ... + 18520419.

It is an arithmetic number, because the mean of its divisors is an integer number (25754400).

Almost surely, 2^3685543680 is an apocalyptic number.

3685543680 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 3685543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417267200).

3685543680 is an abundant number, since it is smaller than the sum of its proper divisors (11148990720).

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

3685543680 is a wasteful number, since it uses less digits than its factorization.

3685543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The square root of 3685543680 is about 60708.6787864799. The cubic root of 3685543680 is about 1544.6633926990.

The spelling of 3685543680 in words is "three billion, six hundred eighty-five million, five hundred forty-three thousand, six hundred eighty".