387486406944 has 324 divisors, whose sum is σ = 1388013594786. Its totient is φ = 102193588224.

The previous prime is 387486406907. The next prime is 387486406963. The reversal of 387486406944 is 449604684783.

It can be written as a sum of positive squares in 3 ways, for example, as 325789808400 + 61696598544 = 570780^2 + 248388^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2303692 + ... + 2466164.

Almost surely, 2^387486406944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387486406944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694006797393).

387486406944 is an abundant number, since it is smaller than the sum of its proper divisors (1000527187842).

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

387486406944 is a wasteful number, since it uses less digits than its factorization.

387486406944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162529 (or 162498 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

It can be divided in two parts, 387486 and 406944, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 387486406944 in words is "three hundred eighty-seven billion, four hundred eighty-six million, four hundred six thousand, nine hundred forty-four".