3407742000100 has 18 divisors (see below), whose sum is σ = 7394800140434. Its totient is φ = 1363096800000.

The previous prime is 3407742000097. The next prime is 3407742000191. The reversal of 3407742000100 is 10002477043.

It can be written as a sum of positive squares in 3 ways, for example, as 4078610496 + 3403663389604 = 63864^2 + 1844902^2 .

It is a super-2 number, since 2×3407742000100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17038709901 + ... + 17038710100.

Almost surely, 2^{3407742000100} is an apocalyptic number.

It is an amenable number.

3407742000100 is an abundant number, since it is smaller than the sum of its proper divisors (3987058140334).

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

3407742000100 is a wasteful number, since it uses less digits than its factorization.

3407742000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34077420015 (or 34077420008 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

Adding to 3407742000100 its reverse (10002477043), we get a palindrome (3417744477143).

The spelling of 3407742000100 in words is "three trillion, four hundred seven billion, seven hundred forty-two million, one hundred", and thus it is an aban number.