3728550506940 has 960 divisors, whose sum is σ = 13838547824640. Its totient is φ = 822937190400.

The previous prime is 3728550506921. The next prime is 3728550506957. The reversal of 3728550506940 is 496050558273.

3728550506940 is a `hidden beast` number, since 3 + 7 + 2 + 85 + 50 + 506 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9298130740 + ... + 9298131140.

It is an arithmetic number, because the mean of its divisors is an integer number (14415153984).

Almost surely, 2^{3728550506940} is an apocalyptic number.

3728550506940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728550506940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919273912320).

3728550506940 is an abundant number, since it is smaller than the sum of its proper divisors (10109997317700).

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

3728550506940 is a wasteful number, since it uses less digits than its factorization.

3728550506940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 3728550506940 in words is "three trillion, seven hundred twenty-eight billion, five hundred fifty million, five hundred six thousand, nine hundred forty".