34218278640 has 960 divisors, whose sum is σ = 154742095872. Its totient is φ = 6569164800.

The previous prime is 34218278587. The next prime is 34218278641. The reversal of 34218278640 is 4687281243.

It is a happy number.

34218278640 is a `hidden beast` number, since 342 + 182 + 78 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34218278641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34528545 + ... + 34529535.

Almost surely, 2^34218278640 is an apocalyptic number.

34218278640 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 34218278640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77371047936).

34218278640 is an abundant number, since it is smaller than the sum of its proper divisors (120523817232).

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

34218278640 is a wasteful number, since it uses less digits than its factorization.

34218278640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 34218278640 in words is "thirty-four billion, two hundred eighteen million, two hundred seventy-eight thousand, six hundred forty".