3420849998916 has 405 divisors, whose sum is σ = 10520348448701. Its totient is φ = 973190925504.

The previous prime is 3420849998911. The next prime is 3420849998941. The reversal of 3420849998916 is 6198999480243.

The square root of 3420849998916 is 1849554.

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

3420849998916 is a `hidden beast` number, since 3 + 42 + 0 + 8 + 499 + 9 + 8 + 91 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 694705580100 + 2726144418816 = 833490^2 + 1651104^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3420849998911) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14681759536 + ... + 14681759768.

Almost surely, 2^{3420849998916} is an apocalyptic number.

3420849998916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3420849998916 is the 1849554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420849998916

3420849998916 is an abundant number, since it is smaller than the sum of its proper divisors (7099498449785).

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

3420849998916 is an frugal number, since it uses more digits than its factorization.

3420849998916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 3420849998916 in words is "three trillion, four hundred twenty billion, eight hundred forty-nine million, nine hundred ninety-eight thousand, nine hundred sixteen".