3543606415140 has 192 divisors, whose sum is σ = 11204068296960. Its totient is φ = 828935976960.

The previous prime is 3543606415127. The next prime is 3543606415159. The reversal of 3543606415140 is 415146063453.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3543606415092 and 3543606415101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32349342 + ... + 32458698.

It is an arithmetic number, because the mean of its divisors is an integer number (58354522380).

Almost surely, 2^{3543606415140} is an apocalyptic number.

3543606415140 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 3543606415140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602034148480).

3543606415140 is an abundant number, since it is smaller than the sum of its proper divisors (7660461881820).

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

3543606415140 is a wasteful number, since it uses less digits than its factorization.

3543606415140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111102 (or 111100 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 3543606415140 in words is "three trillion, five hundred forty-three billion, six hundred six million, four hundred fifteen thousand, one hundred forty".