11385738 has 96 divisors (see below), whose sum is σ = 31792320. Its totient is φ = 2993760.

The previous prime is 11385623. The next prime is 11385739. The reversal of 11385738 is 83758311.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11385739) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34233 + ... + 34563.

It is an arithmetic number, because the mean of its divisors is an integer number (331170).

Almost surely, 2^11385738 is an apocalyptic number.

11385738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11385738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896160).

11385738 is an abundant number, since it is smaller than the sum of its proper divisors (20406582).

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

11385738 is a wasteful number, since it uses less digits than its factorization.

11385738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 11385738 is about 3374.2759223276. The cubic root of 11385738 is about 224.9678176193.

The spelling of 11385738 in words is "eleven million, three hundred eighty-five thousand, seven hundred thirty-eight".