3746197728 has 768 divisors, whose sum is σ = 14631321600. Its totient is φ = 905748480.

The previous prime is 3746197717. The next prime is 3746197769. The reversal of 3746197728 is 8277916473.

3746197728 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 (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70682950 + ... + 70683002.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2^3746197728 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 3746197728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315660800).

3746197728 is an abundant number, since it is smaller than the sum of its proper divisors (10885123872).

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

3746197728 is a wasteful number, since it uses less digits than its factorization.

3746197728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 3746197728 is about 61206.1902751674. The cubic root of 3746197728 is about 1553.0909846000.

The spelling of 3746197728 in words is "three billion, seven hundred forty-six million, one hundred ninety-seven thousand, seven hundred twenty-eight".