3410100100 has 72 divisors (see below), whose sum is σ = 8183413728. Its totient is φ = 1223020800.

The previous prime is 3410100061. The next prime is 3410100121. The reversal of 3410100100 is 10010143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 59067 + ... + 101533.

It is an arithmetic number, because the mean of its divisors is an integer number (113658524).

Almost surely, 2^3410100100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3410100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091706864).

3410100100 is an abundant number, since it is smaller than the sum of its proper divisors (4773313628).

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

3410100100 is a wasteful number, since it uses less digits than its factorization.

3410100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42565 (or 42558 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3410100100 is about 58396.0623672521. The cubic root of 3410100100 is about 1505.1820914837.

Adding to 3410100100 its reverse (10010143), we get a palindrome (3420110243).

The spelling of 3410100100 in words is "three billion, four hundred ten million, one hundred thousand, one hundred".