34242518016 has 308 divisors, whose sum is σ = 117309836272. Its totient is φ = 9782083584.

The previous prime is 34242518003. The next prime is 34242518033. The reversal of 34242518016 is 61081524243.

It is a happy number.

34242518016 is a `hidden beast` number, since 3 + 42 + 425 + 180 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5222196 + ... + 5228748.

Almost surely, 2^34242518016 is an apocalyptic number.

34242518016 is a gapful number since it is divisible by the number (36) 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 34242518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58654918136).

34242518016 is an abundant number, since it is smaller than the sum of its proper divisors (83067318256).

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

34242518016 is an frugal number, since it uses more digits than its factorization.

34242518016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 34242518016 in words is "thirty-four billion, two hundred forty-two million, five hundred eighteen thousand, sixteen".