3453131051040 has 384 divisors, whose sum is σ = 12151274268672. Its totient is φ = 817041899520.

The previous prime is 3453131051009. The next prime is 3453131051057. The reversal of 3453131051040 is 401501313543.

It is a super-2 number, since 2×3453131051040² (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 = 3453131050989 and 3453131051007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350317792 + ... + 350327648.

It is an arithmetic number, because the mean of its divisors is an integer number (31643943408).

Almost surely, 2^{3453131051040} is an apocalyptic number.

3453131051040 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 3453131051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075637134336).

3453131051040 is an abundant number, since it is smaller than the sum of its proper divisors (8698143217632).

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

3453131051040 is a wasteful number, since it uses less digits than its factorization.

3453131051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472 (or 11464 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 3453131051040 its reverse (401501313543), we get a palindrome (3854632364583).

The spelling of 3453131051040 in words is "three trillion, four hundred fifty-three billion, one hundred thirty-one million, fifty-one thousand, forty".