32399870400 has 504 divisors, whose sum is σ = 120377712000. Its totient is φ = 8571018240.

The previous prime is 32399870341. The next prime is 32399870407. The reversal of 32399870400 is 407899323.

It is a happy number.

32399870400 is a `hidden beast` number, since 3 + 239 + 9 + 8 + 7 + 0 + 400 = 666.

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 (32399870407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 64929351 + ... + 64929849.

Almost surely, 2^32399870400 is an apocalyptic number.

32399870400 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 32399870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60188856000).

32399870400 is an abundant number, since it is smaller than the sum of its proper divisors (87977841600).

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

32399870400 is a wasteful number, since it uses less digits than its factorization.

32399870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 32399870400 in words is "thirty-two billion, three hundred ninety-nine million, eight hundred seventy thousand, four hundred".