3628430400 has 252 divisors, whose sum is σ = 13848728208. Its totient is φ = 829301760.

The previous prime is 3628430387. The next prime is 3628430459. The reversal of 3628430400 is 40348263.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 227487 + ... + 242913.

Almost surely, 2^3628430400 is an apocalyptic number.

3628430400 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 3628430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924364104).

3628430400 is an abundant number, since it is smaller than the sum of its proper divisors (10220297808).

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

3628430400 is a wasteful number, since it uses less digits than its factorization.

3628430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15466 (or 15444 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3628430400 is about 60236.4540789047. The cubic root of 3628430400 is about 1536.6428244699.

Adding to 3628430400 its reverse (40348263), we get a palindrome (3668778663).

The spelling of 3628430400 in words is "three billion, six hundred twenty-eight million, four hundred thirty thousand, four hundred".