3688243200 has 672 divisors, whose sum is σ = 14626742400. Its totient is φ = 908328960.

The previous prime is 3688243189. The next prime is 3688243201. The reversal of 3688243200 is 23428863.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688243201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127180786 + ... + 127180814.

Almost surely, 2^3688243200 is an apocalyptic number.

3688243200 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 3688243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313371200).

3688243200 is an abundant number, since it is smaller than the sum of its proper divisors (10938499200).

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

3688243200 is a wasteful number, since it uses less digits than its factorization.

3688243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3688243200 is about 60730.9081111093. The cubic root of 3688243200 is about 1545.0404363062.

The spelling of 3688243200 in words is "three billion, six hundred eighty-eight million, two hundred forty-three thousand, two hundred".