3620073600 has 768 divisors, whose sum is σ = 15617750400. Its totient is φ = 807321600.

The previous prime is 3620073563. The next prime is 3620073601. The reversal of 3620073600 is 63700263.

3620073600 is a `hidden beast` number, since 3 + 620 + 0 + 7 + 36 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3620073601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12355054 + ... + 12355346.

Almost surely, 2^3620073600 is an apocalyptic number.

3620073600 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 3620073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808875200).

3620073600 is an abundant number, since it is smaller than the sum of its proper divisors (11997676800).

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

3620073600 is a wasteful number, since it uses less digits than its factorization.

3620073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3620073600 is about 60167.0474595521. The cubic root of 3620073600 is about 1535.4622140756.

Adding to 3620073600 its reverse (63700263), we get a palindrome (3683773863).

The spelling of 3620073600 in words is "three billion, six hundred twenty million, seventy-three thousand, six hundred".