3523053140640 has 288 divisors, whose sum is σ = 13119410094336. Its totient is φ = 853810145280.

The previous prime is 3523053140639. The next prime is 3523053140657. The reversal of 3523053140640 is 460413503253.

3523053140640 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 0 + 5 + 3 + 1 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3523053140595 and 3523053140604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54029337 + ... + 54094503.

It is an arithmetic number, because the mean of its divisors is an integer number (45553507272).

Almost surely, 2^{3523053140640} is an apocalyptic number.

3523053140640 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 3523053140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6559705047168).

3523053140640 is an abundant number, since it is smaller than the sum of its proper divisors (9596356953696).

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

3523053140640 is a wasteful number, since it uses less digits than its factorization.

3523053140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68612 (or 68601 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 3523053140640 its reverse (460413503253), we get a palindrome (3983466643893).

The spelling of 3523053140640 in words is "three trillion, five hundred twenty-three billion, fifty-three million, one hundred forty thousand, six hundred forty".