3505410412416 has 384 divisors, whose sum is σ = 11601471024000. Its totient is φ = 1004765368320.

The previous prime is 3505410412351. The next prime is 3505410412433. The reversal of 3505410412416 is 6142140145053.

3505410412416 is a `hidden beast` number, since 3 + 50 + 541 + 0 + 41 + 24 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3505410412416² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158655066 + ... + 158677158.

It is an arithmetic number, because the mean of its divisors is an integer number (30212164125).

Almost surely, 2^{3505410412416} is an apocalyptic number.

3505410412416 is a gapful number since it is divisible by the number (36) 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 3505410412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800735512000).

3505410412416 is an abundant number, since it is smaller than the sum of its proper divisors (8096060611584).

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

3505410412416 is a wasteful number, since it uses less digits than its factorization.

3505410412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22802 (or 22787 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 3505410412416 its reverse (6142140145053), we get a palindrome (9647550557469).

The spelling of 3505410412416 in words is "three trillion, five hundred five billion, four hundred ten million, four hundred twelve thousand, four hundred sixteen".