32134082400 has 864 divisors, whose sum is σ = 137022792480. Its totient is φ = 7245987840.

The previous prime is 32134082369. The next prime is 32134082419. The reversal of 32134082400 is 428043123.

32134082400 is a `hidden beast` number, since 3 + 2 + 13 + 408 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102664644 + ... + 102664956.

It is an arithmetic number, because the mean of its divisors is an integer number (158591195).

Almost surely, 2^32134082400 is an apocalyptic number.

32134082400 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 32134082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68511396240).

32134082400 is an abundant number, since it is smaller than the sum of its proper divisors (104888710080).

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

32134082400 is a wasteful number, since it uses less digits than its factorization.

32134082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 32134082400 in words is "thirty-two billion, one hundred thirty-four million, eighty-two thousand, four hundred".