385937798400 has 1944 divisors, whose sum is σ = 1811999524608. Its totient is φ = 77414400000.

The previous prime is 385937798399. The next prime is 385937798447. The reversal of 385937798400 is 4897739583.

385937798400 is a `hidden beast` number, since 38 + 593 + 7 + 7 + 9 + 8 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×385937798400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 962438200 + ... + 962438600.

Almost surely, 2^385937798400 is an apocalyptic number.

385937798400 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 385937798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905999762304).

385937798400 is an abundant number, since it is smaller than the sum of its proper divisors (1426061726208).

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

385937798400 is a wasteful number, since it uses less digits than its factorization.

385937798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 385937798400 in words is "three hundred eighty-five billion, nine hundred thirty-seven million, seven hundred ninety-eight thousand, four hundred".