34530119640 has 512 divisors, whose sum is σ = 121898649600. Its totient is φ = 8685895680.

The previous prime is 34530119621. The next prime is 34530119671. The reversal of 34530119640 is 4691103543.

34530119640 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 0 + 1 + 1 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34530119595 and 34530119604.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 305576224 + ... + 305576336.

It is an arithmetic number, because the mean of its divisors is an integer number (238083300).

Almost surely, 2^34530119640 is an apocalyptic number.

34530119640 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 34530119640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60949324800).

34530119640 is an abundant number, since it is smaller than the sum of its proper divisors (87368529960).

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

34530119640 is a wasteful number, since it uses less digits than its factorization.

34530119640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 34530119640 in words is "thirty-four billion, five hundred thirty million, one hundred nineteen thousand, six hundred forty".