34343149603464 has 1024 divisors, whose sum is σ = 117747302400000. Its totient is φ = 9158024871936.

The previous prime is 34343149603429. The next prime is 34343149603501. The reversal of 34343149603464 is 46430694134343.

34343149603464 is a `hidden beast` number, since 3 + 4 + 34 + 3 + 149 + 6 + 0 + 3 + 464 = 666.

It is a super-3 number, since 3×34343149603464³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34343149603464.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6351606249 + ... + 6351611655.

It is an arithmetic number, because the mean of its divisors is an integer number (114987600000).

Almost surely, 2^{34343149603464} is an apocalyptic number.

34343149603464 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 34343149603464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58873651200000).

34343149603464 is an abundant number, since it is smaller than the sum of its proper divisors (83404152796536).

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

34343149603464 is a wasteful number, since it uses less digits than its factorization.

34343149603464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 54.

The spelling of 34343149603464 in words is "thirty-four trillion, three hundred forty-three billion, one hundred forty-nine million, six hundred three thousand, four hundred sixty-four".