387953280000 has 1760 divisors, whose sum is σ = 1697443144320. Its totient is φ = 86261760000.

The previous prime is 387953279993. The next prime is 387953280059. The reversal of 387953280000 is 82359783.

387953280000 is a `hidden beast` number, since 38 + 7 + 9 + 532 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2471039922 + ... + 2471040078.

It is an arithmetic number, because the mean of its divisors is an integer number (964456332).

Almost surely, 2^387953280000 is an apocalyptic number.

387953280000 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 387953280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848721572160).

387953280000 is an abundant number, since it is smaller than the sum of its proper divisors (1309489864320).

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

387953280000 is a wasteful number, since it uses less digits than its factorization.

387953280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 387953280000 in words is "three hundred eighty-seven billion, nine hundred fifty-three million, two hundred eighty thousand".