3645468288000 has 4224 divisors, whose sum is σ = 18172800921600. Its totient is φ = 710664192000.

The previous prime is 3645468287977. The next prime is 3645468288023. The reversal of 3645468288000 is 8828645463.

3645468288000 is a `hidden beast` number, since 36 + 454 + 6 + 82 + 8 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3645468287977) and next prime (3645468288023).

It is a tau number, because it is divible by the number of its divisors (4224).

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 (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35392895949 + ... + 35392896051.

Almost surely, 2^{3645468288000} is an apocalyptic number.

3645468288000 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 3645468288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086400460800).

3645468288000 is an abundant number, since it is smaller than the sum of its proper divisors (14527332633600).

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

3645468288000 is a wasteful number, since it uses less digits than its factorization.

3645468288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 3645468288000 in words is "three trillion, six hundred forty-five billion, four hundred sixty-eight million, two hundred eighty-eight thousand".