3450116100 has 72 divisors (see below), whose sum is σ = 10010921760. Its totient is φ = 917396480.

The previous prime is 3450116063. The next prime is 3450116107. The reversal of 3450116100 is 16110543.

It is a super-2 number, since 2×3450116100² = 23806602206958420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3450116107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89611 + ... + 122189.

It is an arithmetic number, because the mean of its divisors is an integer number (139040580).

Almost surely, 2^3450116100 is an apocalyptic number.

3450116100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005460880).

3450116100 is an abundant number, since it is smaller than the sum of its proper divisors (6560805660).

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

3450116100 is a wasteful number, since it uses less digits than its factorization.

3450116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32949 (or 32942 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 3450116100 is about 58737.6889228713. The cubic root of 3450116100 is about 1511.0467574999.

Adding to 3450116100 its reverse (16110543), we get a palindrome (3466226643).

The spelling of 3450116100 in words is "three billion, four hundred fifty million, one hundred sixteen thousand, one hundred".