387213945600 has 432 divisors, whose sum is σ = 1306798859520. Its totient is φ = 100942233600.

The previous prime is 387213945583. The next prime is 387213945617. The reversal of 387213945600 is 6549312783.

It is an interprime number because it is at equal distance from previous prime (387213945583) and next prime (387213945617).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 387213945600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209643877 + ... + 209645723.

It is an arithmetic number, because the mean of its divisors is an integer number (3024997360).

It is a 1-persistent number, because it is pandigital, but 2⋅387213945600 = 774427891200 is not.

Almost surely, 2^387213945600 is an apocalyptic number.

387213945600 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 387213945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653399429760).

387213945600 is an abundant number, since it is smaller than the sum of its proper divisors (919584913920).

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

387213945600 is a wasteful number, since it uses less digits than its factorization.

387213945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 387213945600 in words is "three hundred eighty-seven billion, two hundred thirteen million, nine hundred forty-five thousand, six hundred".