34345503540 has 72 divisors (see below), whose sum is σ = 104299829088. Its totient is φ = 9148386240.

The previous prime is 34345503527. The next prime is 34345503541. The reversal of 34345503540 is 4530554343.

34345503540 is a `hidden beast` number, since 3 + 4 + 34 + 550 + 35 + 40 = 666.

It is a super-2 number, since 2×34345503540² (a number of 22 digits) contains 22 as substring.

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 = 34345503495 and 34345503504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345503541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50895 + ... + 266985.

Almost surely, 2^34345503540 is an apocalyptic number.

34345503540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34345503540 is an abundant number, since it is smaller than the sum of its proper divisors (69954325548).

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

34345503540 is a wasteful number, since it uses less digits than its factorization.

34345503540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216989 (or 216984 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 34345503540 in words is "thirty-four billion, three hundred forty-five million, five hundred three thousand, five hundred forty".