32348000880 has 240 divisors, whose sum is σ = 117127920000. Its totient is φ = 7953334272.

The previous prime is 32348000879. The next prime is 32348000891. The reversal of 32348000880 is 8800084323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11689257 + ... + 11692023.

It is an arithmetic number, because the mean of its divisors is an integer number (488033000).

Almost surely, 2^32348000880 is an apocalyptic number.

32348000880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 179855×179856.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32348000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58563960000).

32348000880 is an abundant number, since it is smaller than the sum of its proper divisors (84779919120).

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

32348000880 is a wasteful number, since it uses less digits than its factorization.

32348000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 32348000880 in words is "thirty-two billion, three hundred forty-eight million, eight hundred eighty", and thus it is an aban number.