378989592200 has 108 divisors (see below), whose sum is σ = 892031112735. Its totient is φ = 149746640000.

The previous prime is 378989592181. The next prime is 378989592203. The reversal of 378989592200 is 2295989873.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 336546175876 + 42443416324 = 580126^2 + 206018^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=435310.

It is a super-2 number, since 2×378989592200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (378989592203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 879325985 + ... + 879326415.

Almost surely, 2^378989592200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378989592200

378989592200 is an abundant number, since it is smaller than the sum of its proper divisors (513041520535).

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

378989592200 is an equidigital number, since it uses as much as digits as its factorization.

378989592200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 62.

The spelling of 378989592200 in words is "three hundred seventy-eight billion, nine hundred eighty-nine million, five hundred ninety-two thousand, two hundred".