3620406400 has 192 divisors, whose sum is σ = 9966940200. Its totient is φ = 1290240000.

The previous prime is 3620406329. The next prime is 3620406401. The reversal of 3620406400 is 46040263.

It can be written as a sum of positive squares in 12 ways, for example, as 27123264 + 3593283136 = 5208^2 + 59944^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3620406401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204900 + ... + 1207900.

Almost surely, 2^3620406400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3620406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983470100).

3620406400 is an abundant number, since it is smaller than the sum of its proper divisors (6346533800).

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

3620406400 is a wasteful number, since it uses less digits than its factorization.

3620406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3620406400 is about 60169.8130294586. The cubic root of 3620406400 is about 1535.5092652521.

Adding to 3620406400 its reverse (46040263), we get a palindrome (3666446663).

The spelling of 3620406400 in words is "three billion, six hundred twenty million, four hundred six thousand, four hundred".