3430018045440 has 480 divisors, whose sum is σ = 13596736735296. Its totient is φ = 782814412800.

The previous prime is 3430018045427. The next prime is 3430018045457. The reversal of 3430018045440 is 445408100343.

3430018045440 is a `hidden beast` number, since 3 + 4 + 30 + 0 + 1 + 80 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3430018045395 and 3430018045404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108525640 + ... + 108557240.

Almost surely, 2^{3430018045440} is an apocalyptic number.

3430018045440 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 3430018045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798368367648).

3430018045440 is an abundant number, since it is smaller than the sum of its proper divisors (10166718689856).

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

3430018045440 is a wasteful number, since it uses less digits than its factorization.

3430018045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32310 (or 32291 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 3430018045440 in words is "three trillion, four hundred thirty billion, eighteen million, forty-five thousand, four hundred forty".