32346546540 has 384 divisors, whose sum is σ = 114728140800. Its totient is φ = 6614784000.

The previous prime is 32346546517. The next prime is 32346546541. The reversal of 32346546540 is 4564564323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 32346546492 and 32346546501.

It is not an unprimeable number, because it can be changed into a prime (32346546541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138826264 + ... + 138826496.

It is an arithmetic number, because the mean of its divisors is an integer number (298771200).

Almost surely, 2^32346546540 is an apocalyptic number.

32346546540 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 32346546540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57364070400).

32346546540 is an abundant number, since it is smaller than the sum of its proper divisors (82381594260).

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

32346546540 is a wasteful number, since it uses less digits than its factorization.

32346546540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 32346546540 in words is "thirty-two billion, three hundred forty-six million, five hundred forty-six thousand, five hundred forty".