3546103680 has 384 divisors, whose sum is σ = 14378719680. Its totient is φ = 788299776.

The previous prime is 3546103633. The next prime is 3546103681. The reversal of 3546103680 is 863016453.

3546103680 is a `hidden beast` number, since 3 + 5 + 4 + 610 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546103681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1490652 + ... + 1493028.

Almost surely, 2^3546103680 is an apocalyptic number.

3546103680 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 3546103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189359840).

3546103680 is an abundant number, since it is smaller than the sum of its proper divisors (10832616000).

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

3546103680 is a wasteful number, since it uses less digits than its factorization.

3546103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3546103680 is about 59549.1702712977. The cubic root of 3546103680 is about 1524.9319944591.

The spelling of 3546103680 in words is "three billion, five hundred forty-six million, one hundred three thousand, six hundred eighty".