3430180241280 has 1024 divisors, whose sum is σ = 13739014195200. Its totient is φ = 802489171968.

The previous prime is 3430180241239. The next prime is 3430180241291. The reversal of 3430180241280 is 821420810343.

It is a happy number.

3430180241280 is a `hidden beast` number, since 3 + 430 + 1 + 80 + 24 + 128 + 0 = 666.

It is a super-2 number, since 2×3430180241280² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 842173324 + ... + 842177396.

It is an arithmetic number, because the mean of its divisors is an integer number (13417006050).

Almost surely, 2^{3430180241280} is an apocalyptic number.

3430180241280 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 3430180241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869507097600).

3430180241280 is an abundant number, since it is smaller than the sum of its proper divisors (10308833953920).

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

3430180241280 is a wasteful number, since it uses less digits than its factorization.

3430180241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 3430180241280 in words is "three trillion, four hundred thirty billion, one hundred eighty million, two hundred forty-one thousand, two hundred eighty".