32365541340 has 144 divisors (see below), whose sum is σ = 108568133856. Its totient is φ = 7738675200.

The previous prime is 32365541293. The next prime is 32365541347. The reversal of 32365541340 is 4314556323.

32365541340 is a `hidden beast` number, since 3 + 23 + 65 + 541 + 34 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 32365541295 and 32365541304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32365541347) 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, 32580 + ... + 256500.

It is an arithmetic number, because the mean of its divisors is an integer number (753945374).

Almost surely, 2^32365541340 is an apocalyptic number.

32365541340 is a gapful number since it is divisible by the number (30) 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 32365541340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54284066928).

32365541340 is an abundant number, since it is smaller than the sum of its proper divisors (76202592516).

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

32365541340 is a wasteful number, since it uses less digits than its factorization.

32365541340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224020 (or 224015 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 32365541340 in words is "thirty-two billion, three hundred sixty-five million, five hundred forty-one thousand, three hundred forty".