34513301640 has 128 divisors (see below), whose sum is σ = 110524953600. Its totient is φ = 8596304640.

The previous prime is 34513301633. The next prime is 34513301677. The reversal of 34513301640 is 4610331543.

It is a super-3 number, since 3×34513301640³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34513301598 and 34513301607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55279 + ... + 268481.

It is an arithmetic number, because the mean of its divisors is an integer number (863476200).

Almost surely, 2^34513301640 is an apocalyptic number.

34513301640 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 34513301640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55262476800).

34513301640 is an abundant number, since it is smaller than the sum of its proper divisors (76011651960).

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

34513301640 is a wasteful number, since it uses less digits than its factorization.

34513301640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213307 (or 213303 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 34513301640 in words is "thirty-four billion, five hundred thirteen million, three hundred one thousand, six hundred forty".