3415113600 has 192 divisors, whose sum is σ = 11738355840. Its totient is φ = 871045120.

The previous prime is 3415113563. The next prime is 3415113643. The reversal of 3415113600 is 63115143.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 213067 + ... + 228533.

It is an arithmetic number, because the mean of its divisors is an integer number (61137270).

Almost surely, 2^3415113600 is an apocalyptic number.

3415113600 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 3415113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869177920).

3415113600 is an abundant number, since it is smaller than the sum of its proper divisors (8323242240).

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

3415113600 is a wasteful number, since it uses less digits than its factorization.

3415113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15517 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3415113600 is about 58438.9732969360. The cubic root of 3415113600 is about 1505.9193655693.

Adding to 3415113600 its reverse (63115143), we get a palindrome (3478228743).

The spelling of 3415113600 in words is "three billion, four hundred fifteen million, one hundred thirteen thousand, six hundred".