32387040000 has 1620 divisors, whose sum is σ = 149046121224. Its totient is φ = 6967296000.

The previous prime is 32387039999. The next prime is 32387040013. The reversal of 32387040000 is 4078323.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 1905119992 + ... + 1905120008.

Almost surely, 2^32387040000 is an apocalyptic number.

32387040000 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 32387040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74523060612).

32387040000 is an abundant number, since it is smaller than the sum of its proper divisors (116659081224).

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

32387040000 is an frugal number, since it uses more digits than its factorization.

32387040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 32387040000 in words is "thirty-two billion, three hundred eighty-seven million, forty thousand".