3662344264320 has 960 divisors, whose sum is σ = 16015181608800. Its totient is φ = 793038532608.

The previous prime is 3662344264309. The next prime is 3662344264321. The reversal of 3662344264320 is 234624432663.

3662344264320 is a `hidden beast` number, since 3 + 6 + 6 + 23 + 44 + 264 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3662344264321) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 48225099 + ... + 48300981.

Almost surely, 2^{3662344264320} is an apocalyptic number.

3662344264320 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 3662344264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007590804400).

3662344264320 is an abundant number, since it is smaller than the sum of its proper divisors (12352837344480).

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

3662344264320 is a wasteful number, since it uses less digits than its factorization.

3662344264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75947 (or 75919 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 45.

Adding to 3662344264320 its reverse (234624432663), we get a palindrome (3896968696983).

The spelling of 3662344264320 in words is "three trillion, six hundred sixty-two billion, three hundred forty-four million, two hundred sixty-four thousand, three hundred twenty".