3668483347200 has 864 divisors, whose sum is σ = 15510290611200. Its totient is φ = 831059066880.

The previous prime is 3668483347189. The next prime is 3668483347259. The reversal of 3668483347200 is 27433848663.

3668483347200 is a `hidden beast` number, since 3 + 6 + 68 + 48 + 334 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 136671381 + ... + 136698219.

Almost surely, 2^{3668483347200} is an apocalyptic number.

3668483347200 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 3668483347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755145305600).

3668483347200 is an abundant number, since it is smaller than the sum of its proper divisors (11841807264000).

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

3668483347200 is a wasteful number, since it uses less digits than its factorization.

3668483347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26994 (or 26969 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3668483347200 in words is "three trillion, six hundred sixty-eight billion, four hundred eighty-three million, three hundred forty-seven thousand, two hundred".