387361440 has 264 divisors, whose sum is σ = 1406184948. Its totient is φ = 100776960.

The previous prime is 387361427. The next prime is 387361459. The reversal of 387361440 is 44163783.

387361440 is a `hidden beast` number, since 38 + 7 + 3 + 614 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 341067024 + 46294416 = 18468^2 + 6804^2 .

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

It is a nialpdrome in base 3, base 9 and base 12.

It is a zygodrome in base 3 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 387361395 and 387361404.

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 43 ways as a sum of consecutive naturals, for example, 9447820 + ... + 9447860.

Almost surely, 2^387361440 is an apocalyptic number.

387361440 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 387361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703092474).

387361440 is an abundant number, since it is smaller than the sum of its proper divisors (1018823508).

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

387361440 is an frugal number, since it uses more digits than its factorization.

387361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

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

The square root of 387361440 is about 19681.4999428397. The cubic root of 387361440 is about 728.9629610811.

The spelling of 387361440 in words is "three hundred eighty-seven million, three hundred sixty-one thousand, four hundred forty".