3256620404400 has 360 divisors, whose sum is σ = 12340797281280. Its totient is φ = 788713920000.

The previous prime is 3256620404381. The next prime is 3256620404437. The reversal of 3256620404400 is 44040266523.

3256620404400 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 6 + 204 + 0 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41104825 + ... + 41183975.

It is an arithmetic number, because the mean of its divisors is an integer number (34279992448).

Almost surely, 2^{3256620404400} is an apocalyptic number.

3256620404400 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 3256620404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170398640640).

3256620404400 is an abundant number, since it is smaller than the sum of its proper divisors (9084176876880).

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

3256620404400 is a wasteful number, since it uses less digits than its factorization.

3256620404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80225 (or 80211 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 3256620404400 in words is "three trillion, two hundred fifty-six billion, six hundred twenty million, four hundred four thousand, four hundred".