3720528240 has 480 divisors, whose sum is σ = 14116239360. Its totient is φ = 802713600.

The previous prime is 3720528181. The next prime is 3720528241. The reversal of 3720528240 is 428250273.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720528241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13830826 + ... + 13831094.

It is an arithmetic number, because the mean of its divisors is an integer number (29408832).

Almost surely, 2^3720528240 is an apocalyptic number.

3720528240 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 3720528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058119680).

3720528240 is an abundant number, since it is smaller than the sum of its proper divisors (10395711120).

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

3720528240 is a wasteful number, since it uses less digits than its factorization.

3720528240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 3720528240 is about 60996.1329921824. The cubic root of 3720528240 is about 1549.5355167378.

The spelling of 3720528240 in words is "three billion, seven hundred twenty million, five hundred twenty-eight thousand, two hundred forty".