34243896960 has 1920 divisors, whose sum is σ = 164870853840. Its totient is φ = 6688604160.

The previous prime is 34243896949. The next prime is 34243896983. The reversal of 34243896960 is 6969834243.

34243896960 is a `hidden beast` number, since 34 + 2 + 438 + 96 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4359168576 + 29884728384 = 66024^2 + 172872^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 34243896897 and 34243896906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 561375330 + ... + 561375390.

Almost surely, 2^34243896960 is an apocalyptic number.

34243896960 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 34243896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82435426920).

34243896960 is an abundant number, since it is smaller than the sum of its proper divisors (130626956880).

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

34243896960 is a wasteful number, since it uses less digits than its factorization.

34243896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 34243896960 in words is "thirty-four billion, two hundred forty-three million, eight hundred ninety-six thousand, nine hundred sixty".