1385736000 has 448 divisors, whose sum is σ = 5192328960. Its totient is φ = 322560000.

The previous prime is 1385735893. The next prime is 1385736013. The reversal of 1385736000 is 6375831.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7655910 + ... + 7656090.

It is an arithmetic number, because the mean of its divisors is an integer number (11590020).

Almost surely, 2^1385736000 is an apocalyptic number.

1385736000 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 1385736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596164480).

1385736000 is an abundant number, since it is smaller than the sum of its proper divisors (3806592960).

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

1385736000 is a wasteful number, since it uses less digits than its factorization.

1385736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1385736000 is about 37225.4751480757. The cubic root of 1385736000 is about 1114.8766847341.

The spelling of 1385736000 in words is "one billion, three hundred eighty-five million, seven hundred thirty-six thousand".