387036144 has 200 divisors, whose sum is σ = 1294725168. Its totient is φ = 110315520.

The previous prime is 387036131. The next prime is 387036149. The reversal of 387036144 is 441630783.

387036144 is a `hidden beast` number, since 38 + 7 + 0 + 3 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 387036099 and 387036108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387036149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241554 + ... + 243150.

Almost surely, 2^387036144 is an apocalyptic number.

387036144 is a gapful number since it is divisible by the number (34) 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 387036144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647362584).

387036144 is an abundant number, since it is smaller than the sum of its proper divisors (907689024).

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

387036144 is a wasteful number, since it uses less digits than its factorization.

387036144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 387036144 is about 19673.2342028452. The cubic root of 387036144 is about 728.7588492620.

The spelling of 387036144 in words is "three hundred eighty-seven million, thirty-six thousand, one hundred forty-four".