385227656352 has 1920 divisors, whose sum is σ = 1601781350400. Its totient is φ = 87787929600.

The previous prime is 385227656339. The next prime is 385227656393. The reversal of 385227656352 is 253656722583.

385227656352 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 2 + 76 + 563 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3409094248 + ... + 3409094360.

It is an arithmetic number, because the mean of its divisors is an integer number (834261120).

Almost surely, 2^385227656352 is an apocalyptic number.

385227656352 is a gapful number since it is divisible by the number (32) 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 385227656352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800890675200).

385227656352 is an abundant number, since it is smaller than the sum of its proper divisors (1216553694048).

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

385227656352 is a wasteful number, since it uses less digits than its factorization.

385227656352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 385227656352 in words is "three hundred eighty-five billion, two hundred twenty-seven million, six hundred fifty-six thousand, three hundred fifty-two".