3513707735040 has 480 divisors, whose sum is σ = 12934714632840. Its totient is φ = 911656747008.

The previous prime is 3513707734997. The next prime is 3513707735047. The reversal of 3513707735040 is 405377073153.

3513707735040 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 70 + 7 + 73 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2905906627584 + 607801107456 = 1704672^2 + 779616^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3513707735040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3513707735047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30632034 + ... + 30746526.

Almost surely, 2^{3513707735040} is an apocalyptic number.

3513707735040 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 3513707735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467357316420).

3513707735040 is an abundant number, since it is smaller than the sum of its proper divisors (9421006897800).

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

3513707735040 is a wasteful number, since it uses less digits than its factorization.

3513707735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114569 (or 114540 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The spelling of 3513707735040 in words is "three trillion, five hundred thirteen billion, seven hundred seven million, seven hundred thirty-five thousand, forty".