3620616000 has 224 divisors, whose sum is σ = 12022238592. Its totient is φ = 960102400.

The previous prime is 3620615993. The next prime is 3620616017. The reversal of 3620616000 is 6160263.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6167707 + ... + 6168293.

It is an arithmetic number, because the mean of its divisors is an integer number (53670708).

Almost surely, 2^3620616000 is an apocalyptic number.

3620616000 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 3620616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011119296).

3620616000 is an abundant number, since it is smaller than the sum of its proper divisors (8401622592).

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

3620616000 is a wasteful number, since it uses less digits than its factorization.

3620616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3620616000 is about 60171.5547414225. The cubic root of 3620616000 is about 1535.5388969652.

Adding to 3620616000 its reverse (6160263), we get a palindrome (3626776263).

The spelling of 3620616000 in words is "three billion, six hundred twenty million, six hundred sixteen thousand".