386400268800 has 2880 divisors, whose sum is σ = 1861740840960. Its totient is φ = 74317824000.

The previous prime is 386400268799. The next prime is 386400268817. The reversal of 386400268800 is 8862004683.

It is a happy number.

386400268800 is a `hidden beast` number, since 386 + 4 + 0 + 0 + 268 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9424396780 + ... + 9424396820.

It is an arithmetic number, because the mean of its divisors is an integer number (646437792).

Almost surely, 2^386400268800 is an apocalyptic number.

386400268800 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 386400268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930870420480).

386400268800 is an abundant number, since it is smaller than the sum of its proper divisors (1475340572160).

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

386400268800 is a wasteful number, since it uses less digits than its factorization.

386400268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 386400268800 in words is "three hundred eighty-six billion, four hundred million, two hundred sixty-eight thousand, eight hundred".