3748867200 has 1152 divisors, whose sum is σ = 16573939200. Its totient is φ = 796262400.

The previous prime is 3748867189. The next prime is 3748867201. The reversal of 3748867200 is 27688473.

It is a happy number.

3748867200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (3748867201) 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, 120931185 + ... + 120931215.

It is an arithmetic number, because the mean of its divisors is an integer number (14387100).

Almost surely, 2^3748867200 is an apocalyptic number.

3748867200 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 3748867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8286969600).

3748867200 is an abundant number, since it is smaller than the sum of its proper divisors (12825072000).

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

3748867200 is a wasteful number, since it uses less digits than its factorization.

3748867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3748867200 is about 61227.9935977001. The cubic root of 3748867200 is about 1553.4597984227.

The spelling of 3748867200 in words is "three billion, seven hundred forty-eight million, eight hundred sixty-seven thousand, two hundred".