3221078400 has 720 divisors, whose sum is σ = 12920469540. Its totient is φ = 789626880.

The previous prime is 3221078369. The next prime is 3221078407. The reversal of 3221078400 is 48701223.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221078407) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 74908779 + ... + 74908821.

Almost surely, 2^3221078400 is an apocalyptic number.

3221078400 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 3221078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6460234770).

3221078400 is an abundant number, since it is smaller than the sum of its proper divisors (9699391140).

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

3221078400 is a wasteful number, since it uses less digits than its factorization.

3221078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3221078400 is about 56754.5451924337. The cubic root of 3221078400 is about 1476.8410831885.

Adding to 3221078400 its reverse (48701223), we get a palindrome (3269779623).

The spelling of 3221078400 in words is "three billion, two hundred twenty-one million, seventy-eight thousand, four hundred".