3556022400 has 576 divisors, whose sum is σ = 14995468800. Its totient is φ = 785203200.

The previous prime is 3556022383. The next prime is 3556022401. The reversal of 3556022400 is 42206553.

3556022400 is a `hidden beast` number, since 3 + 55 + 602 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (3556022401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6249316 + ... + 6249884.

It is an arithmetic number, because the mean of its divisors is an integer number (26033800).

Almost surely, 2^3556022400 is an apocalyptic number.

3556022400 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 3556022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497734400).

3556022400 is an abundant number, since it is smaller than the sum of its proper divisors (11439446400).

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

3556022400 is a wasteful number, since it uses less digits than its factorization.

3556022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3556022400 is about 59632.3938811784. The cubic root of 3556022400 is about 1526.3524542499.

Adding to 3556022400 its reverse (42206553), we get a palindrome (3598228953).

The spelling of 3556022400 in words is "three billion, five hundred fifty-six million, twenty-two thousand, four hundred".