386197610400 has 576 divisors, whose sum is σ = 1602219951360. Its totient is φ = 87945523200.

The previous prime is 386197610353. The next prime is 386197610401. The reversal of 386197610400 is 4016791683.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (386197610401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41877790 + ... + 41887010.

It is an arithmetic number, because the mean of its divisors is an integer number (2781631860).

Almost surely, 2^386197610400 is an apocalyptic number.

386197610400 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 386197610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801109975680).

386197610400 is an abundant number, since it is smaller than the sum of its proper divisors (1216022340960).

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

386197610400 is a wasteful number, since it uses less digits than its factorization.

386197610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9515 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 386197610400 in words is "three hundred eighty-six billion, one hundred ninety-seven million, six hundred ten thousand, four hundred".