3748216032 has 720 divisors, whose sum is σ = 13869591120. Its totient is φ = 985374720.

The previous prime is 3748216001. The next prime is 3748216039. The reversal of 3748216032 is 2306128473.

It is a happy number.

3748216032 is a `hidden beast` number, since 3 + 7 + 48 + 2 + 1 + 603 + 2 = 666.

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 (3748216039) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 101303118 + ... + 101303154.

It is an arithmetic number, because the mean of its divisors is an integer number (19263321).

Almost surely, 2^3748216032 is an apocalyptic number.

3748216032 is a gapful number since it is divisible by the number (32) 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 3748216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934795560).

3748216032 is an abundant number, since it is smaller than the sum of its proper divisors (10121375088).

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

3748216032 is a wasteful number, since it uses less digits than its factorization.

3748216032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3748216032 is about 61222.6757990861. The cubic root of 3748216032 is about 1553.3698493056.

The spelling of 3748216032 in words is "three billion, seven hundred forty-eight million, two hundred sixteen thousand, thirty-two".