386287110400 has 243 divisors, whose sum is σ = 1017899081409. Its totient is φ = 145107517440.

The previous prime is 386287110397. The next prime is 386287110409. The reversal of 386287110400 is 4011782683.

The square root of 386287110400 is 621520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 18876561664 + 367410548736 = 137392^2 + 606144^2 .

It is a super-2 number, since 2×386287110400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (386287110409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 845266972 + ... + 845267428.

Almost surely, 2^386287110400 is an apocalyptic number.

386287110400 is the 621520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386287110400

386287110400 is an abundant number, since it is smaller than the sum of its proper divisors (631611971009).

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

386287110400 is an frugal number, since it uses more digits than its factorization.

386287110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 386287110400 in words is "three hundred eighty-six billion, two hundred eighty-seven million, one hundred ten thousand, four hundred".