32134674000 has 960 divisors, whose sum is σ = 127098436608. Its totient is φ = 6918912000.

The previous prime is 32134673947. The next prime is 32134674023. The reversal of 32134674000 is 47643123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 479621967 + ... + 479622033.

Almost surely, 2^32134674000 is an apocalyptic number.

32134674000 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 32134674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63549218304).

32134674000 is an abundant number, since it is smaller than the sum of its proper divisors (94963762608).

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

32134674000 is a wasteful number, since it uses less digits than its factorization.

32134674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 32134674000 in words is "thirty-two billion, one hundred thirty-four million, six hundred seventy-four thousand".