3665909582400 has 1344 divisors, whose sum is σ = 13985297383680. Its totient is φ = 833155891200.

The previous prime is 3665909582369. The next prime is 3665909582429. The reversal of 3665909582400 is 42859095663.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 12511636654 + ... + 12511636946.

It is an arithmetic number, because the mean of its divisors is an integer number (10405727220).

Almost surely, 2^{3665909582400} is an apocalyptic number.

3665909582400 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 3665909582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992648691840).

3665909582400 is an abundant number, since it is smaller than the sum of its proper divisors (10319387801280).

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

3665909582400 is a wasteful number, since it uses less digits than its factorization.

3665909582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 3665909582400 in words is "three trillion, six hundred sixty-five billion, nine hundred nine million, five hundred eighty-two thousand, four hundred".