3220903358400 has 1344 divisors, whose sum is σ = 13494297420800. Its totient is φ = 668163686400.

The previous prime is 3220903358357. The next prime is 3220903358401. The reversal of 3220903358400 is 48533090223.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220903358401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1305593967 + ... + 1305596433.

Almost surely, 2^{3220903358400} is an apocalyptic number.

3220903358400 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 3220903358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747148710400).

3220903358400 is an abundant number, since it is smaller than the sum of its proper divisors (10273394062400).

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

3220903358400 is a wasteful number, since it uses less digits than its factorization.

3220903358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 3220903358400 in words is "three trillion, two hundred twenty billion, nine hundred three million, three hundred fifty-eight thousand, four hundred".