3424180006116 has 135 divisors (see below), whose sum is σ = 9011351409753. Its totient is φ = 1133810174880.

The previous prime is 3424180006097. The next prime is 3424180006123. The reversal of 3424180006116 is 6116000814243.

The square root of 3424180006116 is 1850454.

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

3424180006116 is a `hidden beast` number, since 3 + 4 + 24 + 18 + 0 + 0 + 0 + 611 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1097578903716 + 2326601102400 = 1047654^2 + 1525320^2 .

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

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 44 ways as a sum of consecutive naturals, for example, 7427722126 + ... + 7427722586.

Almost surely, 2^{3424180006116} is an apocalyptic number.

3424180006116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3424180006116 is the 1850454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424180006116

3424180006116 is an abundant number, since it is smaller than the sum of its proper divisors (5587171403637).

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

3424180006116 is an frugal number, since it uses more digits than its factorization.

3424180006116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 3424180006116 by its sum of digits (36), we get a square (123270480220176 = 11102724²).

3424180006116 divided by its sum of digits (36) gives a square (95116111281 = 308409²).

The spelling of 3424180006116 in words is "three trillion, four hundred twenty-four billion, one hundred eighty million, six thousand, one hundred sixteen".