3528387840 has 288 divisors, whose sum is σ = 11739885696. Its totient is φ = 902430720.

The previous prime is 3528387839. The next prime is 3528387847. The reversal of 3528387840 is 487838253.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3528387840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528387847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11492967 + ... + 11493273.

It is an arithmetic number, because the mean of its divisors is an integer number (40763492).

Almost surely, 2^3528387840 is an apocalyptic number.

3528387840 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 3528387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869942848).

3528387840 is an abundant number, since it is smaller than the sum of its proper divisors (8211497856).

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

3528387840 is a wasteful number, since it uses less digits than its factorization.

3528387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 3528387840 is about 59400.2343429721. The cubic root of 3528387840 is about 1522.3883044991.

The spelling of 3528387840 in words is "three billion, five hundred twenty-eight million, three hundred eighty-seven thousand, eight hundred forty".