387400894560 has 192 divisors, whose sum is σ = 1371139358400. Its totient is φ = 102146052096.

The previous prime is 387400894511. The next prime is 387400894579. The reversal of 387400894560 is 65498004783.

387400894560 is a `hidden beast` number, since 3 + 8 + 74 + 0 + 0 + 8 + 9 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 387400894497 and 387400894506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119319 + ... + 888278.

It is an arithmetic number, because the mean of its divisors is an integer number (7141350825).

Almost surely, 2^387400894560 is an apocalyptic number.

387400894560 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 387400894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685569679200).

387400894560 is an abundant number, since it is smaller than the sum of its proper divisors (983738463840).

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

387400894560 is a wasteful number, since it uses less digits than its factorization.

387400894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007710 (or 1007696 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 387400894560 in words is "three hundred eighty-seven billion, four hundred million, eight hundred ninety-four thousand, five hundred sixty".