3642214228800 has 1344 divisors, whose sum is σ = 14454093926400. Its totient is φ = 785672110080.

The previous prime is 3642214228759. The next prime is 3642214228883. The reversal of 3642214228800 is 88224122463.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6080490901 + ... + 6080491499.

Almost surely, 2^{3642214228800} is an apocalyptic number.

3642214228800 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 3642214228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227046963200).

3642214228800 is an abundant number, since it is smaller than the sum of its proper divisors (10811879697600).

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

3642214228800 is a wasteful number, since it uses less digits than its factorization.

3642214228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 3642214228800 in words is "three trillion, six hundred forty-two billion, two hundred fourteen million, two hundred twenty-eight thousand, eight hundred".