3646540800 has 1188 divisors, whose sum is σ = 16927789320. Its totient is φ = 743178240.

The previous prime is 3646540753. The next prime is 3646540813. The reversal of 3646540800 is 80456463.

3646540800 is a `hidden beast` number, since 3 + 646 + 5 + 4 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 191923191 + ... + 191923209.

Almost surely, 2^3646540800 is an apocalyptic number.

3646540800 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 3646540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463894660).

3646540800 is an abundant number, since it is smaller than the sum of its proper divisors (13281248520).

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

3646540800 is a wasteful number, since it uses less digits than its factorization.

3646540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3646540800 is about 60386.5945388544. The cubic root of 3646540800 is about 1539.1951717439.

It can be divided in two parts, 3646 and 540800, that added together give a triangular number (544446 = T₁₀₄₃).

The spelling of 3646540800 in words is "three billion, six hundred forty-six million, five hundred forty thousand, eight hundred".