3430465670460 has 96 divisors (see below), whose sum is σ = 9838381190400. Its totient is φ = 892816104960.

The previous prime is 3430465670453. The next prime is 3430465670473. The reversal of 3430465670460 is 640765640343.

It is a super-2 number, since 2×3430465670460² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 2993761 + ... + 3977880.

It is an arithmetic number, because the mean of its divisors is an integer number (102483137400).

Almost surely, 2^{3430465670460} is an apocalyptic number.

3430465670460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3430465670460 is an abundant number, since it is smaller than the sum of its proper divisors (6407915519940).

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

3430465670460 is a wasteful number, since it uses less digits than its factorization.

3430465670460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6971851 (or 6971849 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 3430465670460 in words is "three trillion, four hundred thirty billion, four hundred sixty-five million, six hundred seventy thousand, four hundred sixty".