3430956016656 has 135 divisors (see below), whose sum is σ = 11170077228063. Its totient is φ = 980228692800.

The previous prime is 3430956016637. The next prime is 3430956016711. The reversal of 3430956016656 is 6566106590343.

It is a happy number.

The square root of 3430956016656 is 1852284.

It is a perfect power (a square), and thus also a powerful number.

3430956016656 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 9 + 560 + 16 + 65 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155580831 + ... + 155602881.

Almost surely, 2^{3430956016656} is an apocalyptic number.

3430956016656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3430956016656 is the 1852284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430956016656

3430956016656 is an abundant number, since it is smaller than the sum of its proper divisors (7739121211407).

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

3430956016656 is an frugal number, since it uses more digits than its factorization.

3430956016656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44130 (or 22063 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 3430956016656 in words is "three trillion, four hundred thirty billion, nine hundred fifty-six million, sixteen thousand, six hundred fifty-six".