385253735630400 has 3360 divisors, whose sum is σ = 1838441435550720. Its totient is φ = 76845791232000.

The previous prime is 385253735630317. The next prime is 385253735630429. The reversal of 385253735630400 is 4036537352583.

It is a happy number.

385253735630400 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 5 + 3 + 73 + 563 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 479 ways as a sum of consecutive naturals, for example, 127948764895 + ... + 127948767905.

It is an arithmetic number, because the mean of its divisors is an integer number (547155189152).

Almost surely, 2^{385253735630400} is an apocalyptic number.

385253735630400 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 385253735630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919220717775360).

385253735630400 is an abundant number, since it is smaller than the sum of its proper divisors (1453187699920320).

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

385253735630400 is a wasteful number, since it uses less digits than its factorization.

385253735630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 385253735630400 in words is "three hundred eighty-five trillion, two hundred fifty-three billion, seven hundred thirty-five million, six hundred thirty thousand, four hundred".