1385841600 has 504 divisors, whose sum is σ = 5795326992. Its totient is φ = 309657600.

The previous prime is 1385841571. The next prime is 1385841607. The reversal of 1385841600 is 61485831.

1385841600 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 8 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385841607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2058864 + ... + 2059536.

Almost surely, 2^1385841600 is an apocalyptic number.

1385841600 is a gapful number since it is divisible by the number (10) 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 1385841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897663496).

1385841600 is an abundant number, since it is smaller than the sum of its proper divisors (4409485392).

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

1385841600 is a wasteful number, since it uses less digits than its factorization.

1385841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1385841600 is about 37226.8935045620. The cubic root of 1385841600 is about 1114.9050037375.

The spelling of 1385841600 in words is "one billion, three hundred eighty-five million, eight hundred forty-one thousand, six hundred".