3662714470400 has 192 divisors, whose sum is σ = 9092399299200. Its totient is φ = 1463633838080.

The previous prime is 3662714470381. The next prime is 3662714470403. The reversal of 3662714470400 is 40744172663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662714470403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272216161 + ... + 1272219039.

It is an arithmetic number, because the mean of its divisors is an integer number (47356246350).

Almost surely, 2^{3662714470400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3662714470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546199649600).

3662714470400 is an abundant number, since it is smaller than the sum of its proper divisors (5429684828800).

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

3662714470400 is an equidigital number, since it uses as much as digits as its factorization.

3662714470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 3662714470400 in words is "three trillion, six hundred sixty-two billion, seven hundred fourteen million, four hundred seventy thousand, four hundred".