3503474813520 has 240 divisors, whose sum is σ = 12838622472000. Its totient is φ = 849117818880.

The previous prime is 3503474813417. The next prime is 3503474813521. The reversal of 3503474813520 is 253184743053.

3503474813520 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 47 + 4 + 81 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (3503474813521) 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, 33362056 + ... + 33466904.

It is an arithmetic number, because the mean of its divisors is an integer number (53494260300).

Almost surely, 2^{3503474813520} is an apocalyptic number.

3503474813520 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 3503474813520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419311236000).

3503474813520 is an abundant number, since it is smaller than the sum of its proper divisors (9335147658480).

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

3503474813520 is a wasteful number, since it uses less digits than its factorization.

3503474813520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109098 (or 109089 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3503474813520 in words is "three trillion, five hundred three billion, four hundred seventy-four million, eight hundred thirteen thousand, five hundred twenty".