387695069798400 has 5040 divisors, whose sum is σ = 1894874731817760. Its totient is φ = 77454036172800.

The previous prime is 387695069798383. The next prime is 387695069798441. The reversal of 387695069798400 is 4897960596783.

387695069798400 is a `hidden beast` number, since 3 + 8 + 7 + 69 + 5 + 0 + 69 + 7 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a self number, because there is not a number n which added to its sum of digits gives 387695069798400.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 200774245435 + ... + 200774247365.

It is an arithmetic number, because the mean of its divisors is an integer number (375967208694).

Almost surely, 2^{387695069798400} is an apocalyptic number.

387695069798400 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 387695069798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947437365908880).

387695069798400 is an abundant number, since it is smaller than the sum of its proper divisors (1507179662019360).

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

387695069798400 is a wasteful number, since it uses less digits than its factorization.

387695069798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 387695069798400 in words is "three hundred eighty-seven trillion, six hundred ninety-five billion, sixty-nine million, seven hundred ninety-eight thousand, four hundred".