32346503904 has 192 divisors, whose sum is σ = 100033194240. Its totient is φ = 9022648320.

The previous prime is 32346503899. The next prime is 32346503909. The reversal of 32346503904 is 40930564323.

It is an interprime number because it is at equal distance from previous prime (32346503899) and next prime (32346503909).

It is a super-2 number, since 2×32346503904² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32346503909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5199804 + ... + 5206020.

It is an arithmetic number, because the mean of its divisors is an integer number (521006220).

Almost surely, 2^32346503904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32346503904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50016597120).

32346503904 is an abundant number, since it is smaller than the sum of its proper divisors (67686690336).

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

32346503904 is a wasteful number, since it uses less digits than its factorization.

32346503904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 32346503904 in words is "thirty-two billion, three hundred forty-six million, five hundred three thousand, nine hundred four".