3212204545440 has 480 divisors, whose sum is σ = 12378107871360. Its totient is φ = 778016102400.

The previous prime is 3212204545423. The next prime is 3212204545463. The reversal of 3212204545440 is 445454022123.

3212204545440 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 204 + 5 + 4 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 3212204545395 and 3212204545404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 168353821 + ... + 168372899.

It is an arithmetic number, because the mean of its divisors is an integer number (25787724732).

Almost surely, 2^{3212204545440} is an apocalyptic number.

3212204545440 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 3212204545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189053935680).

3212204545440 is an abundant number, since it is smaller than the sum of its proper divisors (9165903325920).

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

3212204545440 is a wasteful number, since it uses less digits than its factorization.

3212204545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20298 (or 20281 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 3212204545440 its reverse (445454022123), we get a palindrome (3657658567563).

The spelling of 3212204545440 in words is "three trillion, two hundred twelve billion, two hundred four million, five hundred forty-five thousand, four hundred forty".