3724213248 has 264 divisors, whose sum is σ = 12834690000. Its totient is φ = 1063673856.

The previous prime is 3724213243. The next prime is 3724213267. The reversal of 3724213248 is 8423124273.

It is a happy number.

3724213248 is a `hidden beast` number, since 372 + 42 + 1 + 3 + 248 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3724213243) 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, 1353378 + ... + 1356126.

It is an arithmetic number, because the mean of its divisors is an integer number (48616250).

Almost surely, 2^3724213248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3724213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417345000).

3724213248 is an abundant number, since it is smaller than the sum of its proper divisors (9110476752).

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

3724213248 is a wasteful number, since it uses less digits than its factorization.

3724213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2761 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 3724213248 is about 61026.3324147863. The cubic root of 3724213248 is about 1550.0469285826.

The spelling of 3724213248 in words is "three billion, seven hundred twenty-four million, two hundred thirteen thousand, two hundred forty-eight".