387065240340480 has 3456 divisors, whose sum is σ = 1650928487644800. Its totient is φ = 86534485180416.

The previous prime is 387065240340439. The next prime is 387065240340491. The reversal of 387065240340480 is 84043042560783.

387065240340480 is a `hidden beast` number, since 3 + 8 + 7 + 0 + 6 + 524 + 0 + 34 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 207319356507 + ... + 207319358373.

It is an arithmetic number, because the mean of its divisors is an integer number (477699215175).

Almost surely, 2^{387065240340480} is an apocalyptic number.

387065240340480 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 387065240340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825464243822400).

387065240340480 is an abundant number, since it is smaller than the sum of its proper divisors (1263863247304320).

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

387065240340480 is a wasteful number, since it uses less digits than its factorization.

387065240340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 387065240340480 in words is "three hundred eighty-seven trillion, sixty-five billion, two hundred forty million, three hundred forty thousand, four hundred eighty".