387416287104 has 512 divisors, whose sum is σ = 1343268126720. Its totient is φ = 95993856000.

The previous prime is 387416287079. The next prime is 387416287117. The reversal of 387416287104 is 401782614783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65076192 + ... + 65082144.

It is an arithmetic number, because the mean of its divisors is an integer number (2623570560).

Almost surely, 2^387416287104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387416287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671634063360).

387416287104 is an abundant number, since it is smaller than the sum of its proper divisors (955851839616).

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

387416287104 is a wasteful number, since it uses less digits than its factorization.

387416287104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 387416287104 in words is "three hundred eighty-seven billion, four hundred sixteen million, two hundred eighty-seven thousand, one hundred four".