3540515433444 has 288 divisors, whose sum is σ = 10948038506496. Its totient is φ = 951450762240.

The previous prime is 3540515433437. The next prime is 3540515433449. The reversal of 3540515433444 is 4443345150453.

3540515433444 is a `hidden beast` number, since 3 + 54 + 0 + 5 + 154 + 3 + 3 + 444 = 666.

3540515433444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3540515433444³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3540515433444.

It is not an unprimeable number, because it can be changed into a prime (3540515433449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10203369 + ... + 10544655.

It is an arithmetic number, because the mean of its divisors is an integer number (38014022592).

Almost surely, 2^{3540515433444} is an apocalyptic number.

3540515433444 is a gapful number since it is divisible by the number (34) 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 3540515433444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474019253248).

3540515433444 is an abundant number, since it is smaller than the sum of its proper divisors (7407523073052).

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

3540515433444 is a wasteful number, since it uses less digits than its factorization.

3540515433444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341415 (or 341410 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 3540515433444 in words is "three trillion, five hundred forty billion, five hundred fifteen million, four hundred thirty-three thousand, four hundred forty-four".