387061456800 has 144 divisors (see below), whose sum is σ = 1265536500480. Its totient is φ = 102753392640.

The previous prime is 387061456741. The next prime is 387061456843. The reversal of 387061456800 is 8654160783.

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 387061456800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173596 + ... + 896804.

It is an arithmetic number, because the mean of its divisors is an integer number (8788447920).

Almost surely, 2^387061456800 is an apocalyptic number.

387061456800 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 387061456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632768250240).

387061456800 is an abundant number, since it is smaller than the sum of its proper divisors (878475043680).

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

387061456800 is a wasteful number, since it uses less digits than its factorization.

387061456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723455 (or 723442 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 387061456800 in words is "three hundred eighty-seven billion, sixty-one million, four hundred fifty-six thousand, eight hundred".