387663402240 has 972 divisors, whose sum is σ = 1477800477972. Its totient is φ = 93799710720.

The previous prime is 387663402229. The next prime is 387663402277. The reversal of 387663402240 is 42204366783.

387663402240 is a `hidden beast` number, since 3 + 8 + 7 + 6 + 634 + 0 + 2 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156663972864 + 230999429376 = 395808^2 + 480624^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3996529872 + ... + 3996529968.

Almost surely, 2^387663402240 is an apocalyptic number.

387663402240 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 387663402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738900238986).

387663402240 is an abundant number, since it is smaller than the sum of its proper divisors (1090137075732).

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

387663402240 is a wasteful number, since it uses less digits than its factorization.

387663402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 387663402240 in words is "three hundred eighty-seven billion, six hundred sixty-three million, four hundred two thousand, two hundred forty".