3645607000 has 128 divisors (see below), whose sum is σ = 9794378880. Its totient is φ = 1244160000.

The previous prime is 3645606997. The next prime is 3645607117. The reversal of 3645607000 is 7065463.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685920 + ... + 1688080.

It is an arithmetic number, because the mean of its divisors is an integer number (76518585).

Almost surely, 2^3645607000 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 3645607000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897189440).

3645607000 is an abundant number, since it is smaller than the sum of its proper divisors (6148771880).

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

3645607000 is a wasteful number, since it uses less digits than its factorization.

3645607000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 3645607000 is about 60378.8621953081. The cubic root of 3645607000 is about 1539.0637756953.

The spelling of 3645607000 in words is "three billion, six hundred forty-five million, six hundred seven thousand".