3395989175040 has 2592 divisors, whose sum is σ = 15938965486080. Its totient is φ = 651012341760.

The previous prime is 3395989175039. The next prime is 3395989175071. The reversal of 3395989175040 is 405719895933.

3395989175040 is a `hidden beast` number, since 3 + 39 + 5 + 9 + 8 + 91 + 7 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 9786712147 + ... + 9786712493.

It is an arithmetic number, because the mean of its divisors is an integer number (6149292240).

Almost surely, 2^{3395989175040} is an apocalyptic number.

3395989175040 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 3395989175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969482743040).

3395989175040 is an abundant number, since it is smaller than the sum of its proper divisors (12542976311040).

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

3395989175040 is a wasteful number, since it uses less digits than its factorization.

3395989175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 3395989175040 in words is "three trillion, three hundred ninety-five billion, nine hundred eighty-nine million, one hundred seventy-five thousand, forty".