1385956000 has 192 divisors, whose sum is σ = 4002276096. Its totient is φ = 465024000.

The previous prime is 1385955947. The next prime is 1385956001. The reversal of 1385956000 is 6595831.

It is not an unprimeable number, because it can be changed into a prime (1385956001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570789 + ... + 573211.

It is an arithmetic number, because the mean of its divisors is an integer number (20845188).

Almost surely, 2^1385956000 is an apocalyptic number.

1385956000 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 1385956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001138048).

1385956000 is an abundant number, since it is smaller than the sum of its proper divisors (2616320096).

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

1385956000 is a wasteful number, since it uses less digits than its factorization.

1385956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 1385956000 is about 37228.4299964422. The cubic root of 1385956000 is about 1114.9356810345.

The spelling of 1385956000 in words is "one billion, three hundred eighty-five million, nine hundred fifty-six thousand".