34005885540 has 96 divisors (see below), whose sum is σ = 104560727040. Its totient is φ = 8189232000.

The previous prime is 34005885533. The next prime is 34005885559. The reversal of 34005885540 is 4558850043.

It is a junction number, because it is equal to n+sod(n) for n = 34005885492 and 34005885501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70950 + ... + 270269.

It is an arithmetic number, because the mean of its divisors is an integer number (1089174240).

Almost surely, 2^34005885540 is an apocalyptic number.

34005885540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34005885540 is an abundant number, since it is smaller than the sum of its proper divisors (70554841500).

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

34005885540 is a wasteful number, since it uses less digits than its factorization.

34005885540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341393 (or 341391 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 34005885540 in words is "thirty-four billion, five million, eight hundred eighty-five thousand, five hundred forty".