3643085700 has 144 divisors (see below), whose sum is σ = 11744040000. Its totient is φ = 968820480.

The previous prime is 3643085657. The next prime is 3643085741. The reversal of 3643085700 is 75803463.

It is a happy number.

3643085700 is a `hidden beast` number, since 3 + 643 + 0 + 8 + 5 + 7 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1102651 + ... + 1105949.

Almost surely, 2^3643085700 is an apocalyptic number.

3643085700 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 3643085700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872020000).

3643085700 is an abundant number, since it is smaller than the sum of its proper divisors (8100954300).

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

3643085700 is a wasteful number, since it uses less digits than its factorization.

3643085700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3643085700 is about 60357.9795884521. The cubic root of 3643085700 is about 1538.7088886205.

The spelling of 3643085700 in words is "three billion, six hundred forty-three million, eighty-five thousand, seven hundred".