3518525920 has 288 divisors, whose sum is σ = 10658329920. Its totient is φ = 1073479680.

The previous prime is 3518525917. The next prime is 3518525929. The reversal of 3518525920 is 295258153.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3518525929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5488800 + ... + 5489440.

It is an arithmetic number, because the mean of its divisors is an integer number (37008090).

Almost surely, 2^3518525920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3518525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329164960).

3518525920 is an abundant number, since it is smaller than the sum of its proper divisors (7139804000).

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

3518525920 is a wasteful number, since it uses less digits than its factorization.

3518525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The square root of 3518525920 is about 59317.1637892440. The cubic root of 3518525920 is about 1520.9686116200.

The spelling of 3518525920 in words is "three billion, five hundred eighteen million, five hundred twenty-five thousand, nine hundred twenty".