3621945600 has 648 divisors, whose sum is σ = 15960631232. Its totient is φ = 763084800.

The previous prime is 3621945559. The next prime is 3621945619. The reversal of 3621945600 is 65491263.

It is a happy number.

3621945600 is a `hidden beast` number, since 3 + 6 + 2 + 1 + 9 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241255 + ... + 5241945.

Almost surely, 2^3621945600 is an apocalyptic number.

3621945600 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 3621945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980315616).

3621945600 is an abundant number, since it is smaller than the sum of its proper divisors (12338685632).

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

3621945600 is a wasteful number, since it uses less digits than its factorization.

3621945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3621945600 is about 60182.6021371625. The cubic root of 3621945600 is about 1535.7268394451.

The spelling of 3621945600 in words is "three billion, six hundred twenty-one million, nine hundred forty-five thousand, six hundred".