385078095360 has 840 divisors, whose sum is σ = 1610683702056. Its totient is φ = 87996948480.

The previous prime is 385078095341. The next prime is 385078095383. The reversal of 385078095360 is 63590870583.

It is a happy number.

385078095360 is a `hidden beast` number, since 3 + 8 + 507 + 80 + 9 + 53 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 = 385078095297 and 385078095306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 91443655 + ... + 91447865.

Almost surely, 2^385078095360 is an apocalyptic number.

385078095360 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 385078095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805341851028).

385078095360 is an abundant number, since it is smaller than the sum of its proper divisors (1225605606696).

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

385078095360 is an frugal number, since it uses more digits than its factorization.

385078095360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 385078095360 in words is "three hundred eighty-five billion, seventy-eight million, ninety-five thousand, three hundred sixty".