3524940840960 has 1200 divisors, whose sum is σ = 15757728940800. Its totient is φ = 732349071360.

The previous prime is 3524940840947. The next prime is 3524940840979. The reversal of 3524940840960 is 690480494253.

3524940840960 is a `hidden beast` number, since 3 + 52 + 494 + 0 + 8 + 40 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3524940840897 and 3524940840906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 510931591 + ... + 510938489.

It is an arithmetic number, because the mean of its divisors is an integer number (13131440784).

Almost surely, 2^{3524940840960} is an apocalyptic number.

3524940840960 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 3524940840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878864470400).

3524940840960 is an abundant number, since it is smaller than the sum of its proper divisors (12232788099840).

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

3524940840960 is an equidigital number, since it uses as much as digits as its factorization.

3524940840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3524940840960 in words is "three trillion, five hundred twenty-four billion, nine hundred forty million, eight hundred forty thousand, nine hundred sixty".