3414115800 has 144 divisors (see below), whose sum is σ = 11775853440. Its totient is φ = 885807360.

The previous prime is 3414115703. The next prime is 3414115807. The reversal of 3414115800 is 85114143.

It is a happy number.

3414115800 is a `hidden beast` number, since 3 + 41 + 41 + 1 + 580 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414115807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40969 + ... + 92231.

It is an arithmetic number, because the mean of its divisors is an integer number (81776760).

Almost surely, 2^3414115800 is an apocalyptic number.

3414115800 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 3414115800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887926720).

3414115800 is an abundant number, since it is smaller than the sum of its proper divisors (8361737640).

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

3414115800 is a wasteful number, since it uses less digits than its factorization.

3414115800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51322 (or 51310 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3414115800 is about 58430.4355622992. The cubic root of 3414115800 is about 1505.7726888764.

Adding to 3414115800 its reverse (85114143), we get a palindrome (3499229943).

The spelling of 3414115800 in words is "three billion, four hundred fourteen million, one hundred fifteen thousand, eight hundred".