11634350340 has 96 divisors (see below), whose sum is σ = 33255492480. Its totient is φ = 3038340096.

The previous prime is 11634350323. The next prime is 11634350347. The reversal of 11634350340 is 4305343611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11634350298 and 11634350307.

It is not an unprimeable number, because it can be changed into a prime (11634350347) 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, 687096 + ... + 703824.

It is an arithmetic number, because the mean of its divisors is an integer number (346411380).

Almost surely, 2^11634350340 is an apocalyptic number.

11634350340 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 11634350340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16627746240).

11634350340 is an abundant number, since it is smaller than the sum of its proper divisors (21621142140).

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

11634350340 is a wasteful number, since it uses less digits than its factorization.

11634350340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16981 (or 16979 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 11634350340 its reverse (4305343611), we get a palindrome (15939693951).

The spelling of 11634350340 in words is "eleven billion, six hundred thirty-four million, three hundred fifty thousand, three hundred forty".