32349335040 has 640 divisors, whose sum is σ = 126617610240. Its totient is φ = 7763558400.

The previous prime is 32349335033. The next prime is 32349335041. The reversal of 32349335040 is 4053394323.

32349335040 is a `hidden beast` number, since 32 + 34 + 93 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 32349334986 and 32349335004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32349335041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119370105 + ... + 119370375.

It is an arithmetic number, because the mean of its divisors is an integer number (197840016).

Almost surely, 2^32349335040 is an apocalyptic number.

32349335040 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 32349335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63308805120).

32349335040 is an abundant number, since it is smaller than the sum of its proper divisors (94268275200).

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

32349335040 is a wasteful number, since it uses less digits than its factorization.

32349335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 32349335040 in words is "thirty-two billion, three hundred forty-nine million, three hundred thirty-five thousand, forty".