3520072131840 has 720 divisors, whose sum is σ = 13758511447296. Its totient is φ = 852233011200.

The previous prime is 3520072131817. The next prime is 3520072131853. The reversal of 3520072131840 is 481312700253.

3520072131840 is a `hidden beast` number, since 3 + 520 + 0 + 7 + 21 + 31 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 3520072131795 and 3520072131804.

It is a congruent number.

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, 1164428569 + ... + 1164431591.

Almost surely, 2^{3520072131840} is an apocalyptic number.

3520072131840 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 3520072131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879255723648).

3520072131840 is an abundant number, since it is smaller than the sum of its proper divisors (10238439315456).

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

3520072131840 is a wasteful number, since it uses less digits than its factorization.

3520072131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 3520072131840 in words is "three trillion, five hundred twenty billion, seventy-two million, one hundred thirty-one thousand, eight hundred forty".