34341350004 has 432 divisors, whose sum is σ = 106656915456. Its totient is φ = 9573811200.

The previous prime is 34341350003. The next prime is 34341350051. The reversal of 34341350004 is 40005314343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 34341350004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341350003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179797549 + ... + 179797739.

It is an arithmetic number, because the mean of its divisors is an integer number (246891008).

Almost surely, 2^34341350004 is an apocalyptic number.

34341350004 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 34341350004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53328457728).

34341350004 is an abundant number, since it is smaller than the sum of its proper divisors (72315565452).

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

34341350004 is a wasteful number, since it uses less digits than its factorization.

34341350004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34341350004 its reverse (40005314343), we get a palindrome (74346664347).

The spelling of 34341350004 in words is "thirty-four billion, three hundred forty-one million, three hundred fifty thousand, four".