3732841728 has 432 divisors, whose sum is σ = 13706050176. Its totient is φ = 948879360.

The previous prime is 3732841703. The next prime is 3732841753. The reversal of 3732841728 is 8271482373.

3732841728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3732841703) and next prime (3732841753).

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 47 ways as a sum of consecutive naturals, for example, 9402426 + ... + 9402822.

It is an arithmetic number, because the mean of its divisors is an integer number (31726968).

Almost surely, 2^3732841728 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 3732841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853025088).

3732841728 is an abundant number, since it is smaller than the sum of its proper divisors (9973208448).

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

3732841728 is a wasteful number, since it uses less digits than its factorization.

3732841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

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

The square root of 3732841728 is about 61096.9862431855. The cubic root of 3732841728 is about 1551.2430857593.

The spelling of 3732841728 in words is "three billion, seven hundred thirty-two million, eight hundred forty-one thousand, seven hundred twenty-eight".