3430664186040 has 640 divisors, whose sum is σ = 14202153947520. Its totient is φ = 723304857600.

The previous prime is 3430664186011. The next prime is 3430664186083. The reversal of 3430664186040 is 406814660343.

It is a happy number.

3430664186040 is a `hidden beast` number, since 3 + 4 + 30 + 6 + 6 + 4 + 1 + 8 + 604 + 0 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 507416260 + ... + 507423020.

It is an arithmetic number, because the mean of its divisors is an integer number (22190865543).

Almost surely, 2^{3430664186040} is an apocalyptic number.

3430664186040 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 3430664186040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101076973760).

3430664186040 is an abundant number, since it is smaller than the sum of its proper divisors (10771489761480).

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

3430664186040 is a wasteful number, since it uses less digits than its factorization.

3430664186040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3430664186040 in words is "three trillion, four hundred thirty billion, six hundred sixty-four million, one hundred eighty-six thousand, forty".