3530784000 has 144 divisors (see below), whose sum is σ = 11727817920. Its totient is φ = 941516800.

The previous prime is 3530783999. The next prime is 3530784001. The reversal of 3530784000 is 4870353.

It is an interprime number because it is at equal distance from previous prime (3530783999) and next prime (3530784001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3530784001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77611 + ... + 114389.

It is an arithmetic number, because the mean of its divisors is an integer number (81443180).

Almost surely, 2^3530784000 is an apocalyptic number.

3530784000 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 3530784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863908960).

3530784000 is an abundant number, since it is smaller than the sum of its proper divisors (8197033920).

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

3530784000 is an equidigital number, since it uses as much as digits as its factorization.

3530784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36813 (or 36789 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3530784000 is about 59420.4005371892. The cubic root of 3530784000 is about 1522.7328490585.

The spelling of 3530784000 in words is "three billion, five hundred thirty million, seven hundred eighty-four thousand".