32394294000 has 480 divisors, whose sum is σ = 116342011968. Its totient is φ = 8398080000.

The previous prime is 32394293999. The next prime is 32394294001. The reversal of 32394294000 is 49249323.

It is an interprime number because it is at equal distance from previous prime (32394293999) and next prime (32394294001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32394294001) 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 95 ways as a sum of consecutive naturals, for example, 178973910 + ... + 178974090.

Almost surely, 2^32394294000 is an apocalyptic number.

32394294000 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 32394294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58171005984).

32394294000 is an abundant number, since it is smaller than the sum of its proper divisors (83947717968).

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

32394294000 is a wasteful number, since it uses less digits than its factorization.

32394294000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 32394294000 in words is "thirty-two billion, three hundred ninety-four million, two hundred ninety-four thousand".