3726988200 has 576 divisors, whose sum is σ = 14843424960. Its totient is φ = 860958720.

The previous prime is 3726988193. The next prime is 3726988201. The reversal of 3726988200 is 28896273.

3726988200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3726988201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10740427 + ... + 10740773.

It is an arithmetic number, because the mean of its divisors is an integer number (25769835).

Almost surely, 2^3726988200 is an apocalyptic number.

3726988200 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 3726988200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421712480).

3726988200 is an abundant number, since it is smaller than the sum of its proper divisors (11116436760).

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

3726988200 is a wasteful number, since it uses less digits than its factorization.

3726988200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3726988200 is about 61049.0638748867. The cubic root of 3726988200 is about 1550.4318186398.

The spelling of 3726988200 in words is "three billion, seven hundred twenty-six million, nine hundred eighty-eight thousand, two hundred".