34042563360 has 960 divisors, whose sum is σ = 137041293312. Its totient is φ = 7900913664.

The previous prime is 34042563337. The next prime is 34042563367. The reversal of 34042563360 is 6336524043.

34042563360 is a `hidden beast` number, since 3 + 40 + 4 + 256 + 3 + 360 = 666.

It is a super-2 number, since 2×34042563360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34042563367) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 268051617 + ... + 268051743.

Almost surely, 2^34042563360 is an apocalyptic number.

34042563360 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 34042563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68520646656).

34042563360 is an abundant number, since it is smaller than the sum of its proper divisors (102998729952).

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

34042563360 is a wasteful number, since it uses less digits than its factorization.

34042563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 34042563360 in words is "thirty-four billion, forty-two million, five hundred sixty-three thousand, three hundred sixty".