38352468211200 has 1440 divisors, whose sum is σ = 166637988132000. Its totient is φ = 8582248857600.

The previous prime is 38352468211193. The next prime is 38352468211223. The reversal of 38352468211200 is 211286425383.

38352468211200 is a `hidden beast` number, since 3 + 8 + 3 + 524 + 6 + 8 + 2 + 112 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×38352468211200² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 543593526 + ... + 543664074.

Almost surely, 2^{38352468211200} is an apocalyptic number.

38352468211200 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 38352468211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83318994066000).

38352468211200 is an abundant number, since it is smaller than the sum of its proper divisors (128285519920800).

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

38352468211200 is a wasteful number, since it uses less digits than its factorization.

38352468211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70621 (or 70583 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38352468211200 in words is "thirty-eight trillion, three hundred fifty-two billion, four hundred sixty-eight million, two hundred eleven thousand, two hundred".