34048590720 has 256 divisors, whose sum is σ = 111034670400. Its totient is φ = 8871542784.

The previous prime is 34048590679. The next prime is 34048590727. The reversal of 34048590720 is 2709584043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34048590727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31850346 + ... + 31851414.

Almost surely, 2^34048590720 is an apocalyptic number.

34048590720 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 34048590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55517335200).

34048590720 is an abundant number, since it is smaller than the sum of its proper divisors (76986079680).

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

34048590720 is a wasteful number, since it uses less digits than its factorization.

34048590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 34048590720 in words is "thirty-four billion, forty-eight million, five hundred ninety thousand, seven hundred twenty".