3232605542400 has 1440 divisors, whose sum is σ = 13656206884320. Its totient is φ = 748698992640.

The previous prime is 3232605542381. The next prime is 3232605542489. The reversal of 3232605542400 is 42455062323.

3232605542400 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 60 + 554 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 916529437 + ... + 916532963.

It is an arithmetic number, because the mean of its divisors is an integer number (9483477003).

Almost surely, 2^{3232605542400} is an apocalyptic number.

3232605542400 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 3232605542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828103442160).

3232605542400 is an abundant number, since it is smaller than the sum of its proper divisors (10423601341920).

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

3232605542400 is a wasteful number, since it uses less digits than its factorization.

3232605542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 3232605542400 in words is "three trillion, two hundred thirty-two billion, six hundred five million, five hundred forty-two thousand, four hundred".