3748338126 has 256 divisors, whose sum is σ = 10199347200. Its totient is φ = 1007769600.

The previous prime is 3748338103. The next prime is 3748338127. The reversal of 3748338126 is 6218338473.

It is a super-4 number, since 4×3748338126⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3748338127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13831371 + ... + 13831641.

It is an arithmetic number, because the mean of its divisors is an integer number (39841200).

Almost surely, 2^3748338126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3748338126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099673600).

3748338126 is an abundant number, since it is smaller than the sum of its proper divisors (6451009074).

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

3748338126 is a wasteful number, since it uses less digits than its factorization.

3748338126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3748338126 is about 61223.6729215097. The cubic root of 3748338126 is about 1553.3867155586.

The spelling of 3748338126 in words is "three billion, seven hundred forty-eight million, three hundred thirty-eight thousand, one hundred twenty-six".