387209648996352 has 3808 divisors, whose sum is σ = 1571144763525120. Its totient is φ = 93013640478720.

The previous prime is 387209648996323. The next prime is 387209648996381. The reversal of 387209648996352 is 253699846902783.

387209648996352 is a `hidden beast` number, since 3 + 8 + 7 + 20 + 9 + 6 + 489 + 9 + 63 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (387209648996323) and next prime (387209648996381).

It is a tau number, because it is divible by the number of its divisors (3808).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 12490633838577 + ... + 12490633838607.

It is an arithmetic number, because the mean of its divisors is an integer number (412590536640).

Almost surely, 2^{387209648996352} is an apocalyptic number.

387209648996352 is a gapful number since it is divisible by the number (32) 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 387209648996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785572381762560).

387209648996352 is an abundant number, since it is smaller than the sum of its proper divisors (1183935114528768).

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

387209648996352 is an frugal number, since it uses more digits than its factorization.

387209648996352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

The spelling of 387209648996352 in words is "three hundred eighty-seven trillion, two hundred nine billion, six hundred forty-eight million, nine hundred ninety-six thousand, three hundred fifty-two".