387241292160 has 768 divisors, whose sum is σ = 1510954560000. Its totient is φ = 93541257216.

The previous prime is 387241292149. The next prime is 387241292167. The reversal of 387241292160 is 61292142783.

387241292160 is a `hidden beast` number, since 3 + 8 + 72 + 412 + 9 + 2 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387241292167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143474491 + ... + 143477189.

It is an arithmetic number, because the mean of its divisors is an integer number (1967388750).

Almost surely, 2^387241292160 is an apocalyptic number.

387241292160 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 387241292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755477280000).

387241292160 is an abundant number, since it is smaller than the sum of its proper divisors (1123713267840).

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

387241292160 is a wasteful number, since it uses less digits than its factorization.

387241292160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 387241292160 in words is "three hundred eighty-seven billion, two hundred forty-one million, two hundred ninety-two thousand, one hundred sixty".