34013304540 has 240 divisors, whose sum is σ = 113685640992. Its totient is φ = 8483180544.

The previous prime is 34013304527. The next prime is 34013304541. The reversal of 34013304540 is 4540331043.

34013304540 is a `hidden beast` number, since 340 + 13 + 304 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×34013304540² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013304541) 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 79 ways as a sum of consecutive naturals, for example, 4485232 + ... + 4492808.

Almost surely, 2^34013304540 is an apocalyptic number.

34013304540 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 34013304540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56842820496).

34013304540 is an abundant number, since it is smaller than the sum of its proper divisors (79672336452).

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

34013304540 is a wasteful number, since it uses less digits than its factorization.

34013304540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34013304540 its reverse (4540331043), we get a palindrome (38553635583).

The spelling of 34013304540 in words is "thirty-four billion, thirteen million, three hundred four thousand, five hundred forty".