3543005975040 has 320 divisors, whose sum is σ = 14382919077120. Its totient is φ = 809829826560.

The previous prime is 3543005975029. The next prime is 3543005975051. The reversal of 3543005975040 is 405795003453.

3543005975040 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 0 + 0 + 597 + 50 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3543005975029) and next prime (3543005975051).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3543005975040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 3177501 + ... + 4145180.

It is an arithmetic number, because the mean of its divisors is an integer number (44946622116).

Almost surely, 2^{3543005975040} is an apocalyptic number.

3543005975040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3543005975040 is an abundant number, since it is smaller than the sum of its proper divisors (10839913102080).

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

3543005975040 is an equidigital number, since it uses as much as digits as its factorization.

3543005975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322720 (or 7322698 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 3543005975040 in words is "three trillion, five hundred forty-three billion, five million, nine hundred seventy-five thousand, forty".