3640200000 has 168 divisors, whose sum is σ = 12040416864. Its totient is φ = 970560000.

The previous prime is 3640199993. The next prime is 3640200001. The reversal of 3640200000 is 20463.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640200001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596967 + ... + 603033.

It is an arithmetic number, because the mean of its divisors is an integer number (71669148).

Almost surely, 2^3640200000 is an apocalyptic number.

3640200000 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 3640200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020208432).

3640200000 is an abundant number, since it is smaller than the sum of its proper divisors (8400216864).

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

3640200000 is an frugal number, since it uses more digits than its factorization.

3640200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6107 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3640200000 is about 60334.0699770867. The cubic root of 3640200000 is about 1538.3025092029.

Adding to 3640200000 its reverse (20463), we get a palindrome (3640220463).

The spelling of 3640200000 in words is "three billion, six hundred forty million, two hundred thousand".