3728985120 has 384 divisors, whose sum is σ = 15001459200. Its totient is φ = 847466496.

The previous prime is 3728985119. The next prime is 3728985121. The reversal of 3728985120 is 215898273.

It is a happy number.

3728985120 is a `hidden beast` number, since 372 + 89 + 85 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (3728985119) and next prime (3728985121).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3728985121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9585886 + ... + 9586274.

It is an arithmetic number, because the mean of its divisors is an integer number (39066300).

Almost surely, 2^3728985120 is an apocalyptic number.

3728985120 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 3728985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500729600).

3728985120 is an abundant number, since it is smaller than the sum of its proper divisors (11272474080).

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

3728985120 is a wasteful number, since it uses less digits than its factorization.

3728985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3728985120 is about 61065.4167266547. The cubic root of 3728985120 is about 1550.7086762832.

The spelling of 3728985120 in words is "three billion, seven hundred twenty-eight million, nine hundred eighty-five thousand, one hundred twenty".