387990570240 has 2880 divisors, whose sum is σ = 1884727595520. Its totient is φ = 73893150720.

The previous prime is 387990570193. The next prime is 387990570269. The reversal of 387990570240 is 42075099783.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 6576111331 + ... + 6576111389.

It is an arithmetic number, because the mean of its divisors is an integer number (654419304).

Almost surely, 2^387990570240 is an apocalyptic number.

387990570240 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 387990570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942363797760).

387990570240 is an abundant number, since it is smaller than the sum of its proper divisors (1496737025280).

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

387990570240 is a wasteful number, since it uses less digits than its factorization.

387990570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 387990570240 in words is "three hundred eighty-seven billion, nine hundred ninety million, five hundred seventy thousand, two hundred forty".