32988003840 has 640 divisors, whose sum is σ = 130930905600. Its totient is φ = 7803371520.

The previous prime is 32988003803. The next prime is 32988003847. The reversal of 32988003840 is 4830088923.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32988003847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32693256 + ... + 32694264.

It is an arithmetic number, because the mean of its divisors is an integer number (204579540).

Almost surely, 2^32988003840 is an apocalyptic number.

32988003840 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 32988003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65465452800).

32988003840 is an abundant number, since it is smaller than the sum of its proper divisors (97942901760).

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

32988003840 is a wasteful number, since it uses less digits than its factorization.

32988003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 32988003840 in words is "thirty-two billion, nine hundred eighty-eight million, three thousand, eight hundred forty".