3430615879680 has 416 divisors, whose sum is σ = 12495193574400. Its totient is φ = 795501527040.

The previous prime is 3430615879679. The next prime is 3430615879693. The reversal of 3430615879680 is 869785160343.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15433971 + ... + 15654669.

Almost surely, 2^{3430615879680} is an apocalyptic number.

3430615879680 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 3430615879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247596787200).

3430615879680 is an abundant number, since it is smaller than the sum of its proper divisors (9064577694720).

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

3430615879680 is a wasteful number, since it uses less digits than its factorization.

3430615879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220765 (or 220743 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 3430615879680 in words is "three trillion, four hundred thirty billion, six hundred fifteen million, eight hundred seventy-nine thousand, six hundred eighty".