3728855673048 has 256 divisors, whose sum is σ = 10449719746560. Its totient is φ = 1099236902400.

The previous prime is 3728855673029. The next prime is 3728855673073. The reversal of 3728855673048 is 8403765588273.

It is a super-2 number, since 2×3728855673048² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a self number, because there is not a number n which added to its sum of digits gives 3728855673048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 835502065 + ... + 835506527.

It is an arithmetic number, because the mean of its divisors is an integer number (40819217760).

Almost surely, 2^{3728855673048} 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 3728855673048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224859873280).

3728855673048 is an abundant number, since it is smaller than the sum of its proper divisors (6720864073512).

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

3728855673048 is a wasteful number, since it uses less digits than its factorization.

3728855673048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 66.

The spelling of 3728855673048 in words is "three trillion, seven hundred twenty-eight billion, eight hundred fifty-five million, six hundred seventy-three thousand, forty-eight".