3459934808100 has 81 divisors (see below), whose sum is σ = 10845148350673. Its totient is φ = 922634401440.

The previous prime is 3459934808027. The next prime is 3459934808101. The reversal of 3459934808100 is 18084399543.

The square root of 3459934808100 is 1860090.

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

3459934808100 is a `hidden beast` number, since 3 + 4 + 59 + 9 + 3 + 480 + 8 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1245576530916 + 2214358277184 = 1116054^2 + 1488072^2 .

It is a super-2 number, since 2×3459934808100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3459934808101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55771699 + ... + 55833701.

Almost surely, 2^{3459934808100} is an apocalyptic number.

3459934808100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3459934808100 is the 1860090-th square number.

It is an amenable number.

3459934808100 is an abundant number, since it is smaller than the sum of its proper divisors (7385213542573).

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

3459934808100 is an frugal number, since it uses more digits than its factorization.

3459934808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124026 (or 62013 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3459934808100 in words is "three trillion, four hundred fifty-nine billion, nine hundred thirty-four million, eight hundred eight thousand, one hundred".