387049881600 has 960 divisors, whose sum is σ = 1514262195600. Its totient is φ = 97462517760.

The previous prime is 387049881551. The next prime is 387049881637. The reversal of 387049881600 is 6188940783.

387049881600 is a `hidden beast` number, since 3 + 8 + 70 + 498 + 81 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×387049881600² (a number of 24 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 1260748647 + ... + 1260748953.

Almost surely, 2^387049881600 is an apocalyptic number.

387049881600 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 387049881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757131097800).

387049881600 is an abundant number, since it is smaller than the sum of its proper divisors (1127212314000).

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

387049881600 is an equidigital number, since it uses as much as digits as its factorization.

387049881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 387049881600 in words is "three hundred eighty-seven billion, forty-nine million, eight hundred eighty-one thousand, six hundred".