3414104242304 has 128 divisors (see below), whose sum is σ = 8232806718720. Its totient is φ = 1376719994880.

The previous prime is 3414104242301. The next prime is 3414104242333. The reversal of 3414104242304 is 4032424014143.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3414104242304² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3414104242301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55886144 + ... + 55947200.

It is an arithmetic number, because the mean of its divisors is an integer number (64318802490).

Almost surely, 2^{3414104242304} is an apocalyptic number.

3414104242304 is a gapful number since it is divisible by the number (34) 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 3414104242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116403359360).

3414104242304 is an abundant number, since it is smaller than the sum of its proper divisors (4818702476416).

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

3414104242304 is a wasteful number, since it uses less digits than its factorization.

3414104242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64766 (or 64754 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 3414104242304 its reverse (4032424014143), we get a palindrome (7446528256447).

The spelling of 3414104242304 in words is "three trillion, four hundred fourteen billion, one hundred four million, two hundred forty-two thousand, three hundred four".