3661549466400 has 1008 divisors, whose sum is σ = 15359492429568. Its totient is φ = 834582528000.

The previous prime is 3661549466329. The next prime is 3661549466411. The reversal of 3661549466400 is 46649451663.

3661549466400 is a `hidden beast` number, since 36 + 6 + 1 + 549 + 4 + 6 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1759513360 + ... + 1759515440.

It is an arithmetic number, because the mean of its divisors is an integer number (15237591696).

Almost surely, 2^{3661549466400} is an apocalyptic number.

3661549466400 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 3661549466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679746214784).

3661549466400 is an abundant number, since it is smaller than the sum of its proper divisors (11697942963168).

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

3661549466400 is a wasteful number, since it uses less digits than its factorization.

3661549466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3661549466400 in words is "three trillion, six hundred sixty-one billion, five hundred forty-nine million, four hundred sixty-six thousand, four hundred".