3354520200240 has 960 divisors, whose sum is σ = 12163021516800. Its totient is φ = 762996326400.

The previous prime is 3354520200167. The next prime is 3354520200253. The reversal of 3354520200240 is 420020254533.

It is a super-2 number, since 2×3354520200240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3354520200198 and 3354520200207.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7471091536 + ... + 7471091984.

It is an arithmetic number, because the mean of its divisors is an integer number (12669814080).

Almost surely, 2^{3354520200240} is an apocalyptic number.

3354520200240 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 3354520200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081510758400).

3354520200240 is an abundant number, since it is smaller than the sum of its proper divisors (8808501316560).

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

3354520200240 is a wasteful number, since it uses less digits than its factorization.

3354520200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 3354520200240 its reverse (420020254533), we get a palindrome (3774540454773).

The spelling of 3354520200240 in words is "three trillion, three hundred fifty-four billion, five hundred twenty million, two hundred thousand, two hundred forty".