387913995244800 has 162 divisors, whose sum is σ = 1386880083239742. Its totient is φ = 103443732049920.

The previous prime is 387913995244729. The next prime is 387913995244931. The reversal of 387913995244800 is 8442599319783.

387913995244800 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 1 + 3 + 99 + 52 + 4 + 480 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16620559156224 + 371293436088576 = 4076832^2 + 19268976^2 .

It is a super-3 number, since 3×387913995244800³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3367251387 + ... + 3367366586.

Almost surely, 2^{387913995244800} is an apocalyptic number.

387913995244800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387913995244800 is an abundant number, since it is smaller than the sum of its proper divisors (998966087994942).

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

387913995244800 is a wasteful number, since it uses less digits than its factorization.

387913995244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734618005 (or 6734617983 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 387913995244800 in words is "three hundred eighty-seven trillion, nine hundred thirteen billion, nine hundred ninety-five million, two hundred forty-four thousand, eight hundred".