3528437760 has 312 divisors, whose sum is σ = 12701292240. Its totient is φ = 939589632.

The previous prime is 3528437729. The next prime is 3528437767. The reversal of 3528437760 is 677348253.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528437767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976286 + ... + 4976994.

It is an arithmetic number, because the mean of its divisors is an integer number (40709270).

Almost surely, 2^3528437760 is an apocalyptic number.

3528437760 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 3528437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350646120).

3528437760 is an abundant number, since it is smaller than the sum of its proper divisors (9172854480).

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

3528437760 is an frugal number, since it uses more digits than its factorization.

3528437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3528437760 is about 59400.6545418483. The cubic root of 3528437760 is about 1522.3954841016.

The spelling of 3528437760 in words is "three billion, five hundred twenty-eight million, four hundred thirty-seven thousand, seven hundred sixty".