34038289260 has 96 divisors (see below), whose sum is σ = 110501153280. Its totient is φ = 8682227136.

The previous prime is 34038289183. The next prime is 34038289267. The reversal of 34038289260 is 6298283043.

34038289260 is a `hidden beast` number, since 3 + 4 + 0 + 382 + 8 + 9 + 260 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34038289267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357882 + ... + 1382721.

It is an arithmetic number, because the mean of its divisors is an integer number (1151053680).

Almost surely, 2^34038289260 is an apocalyptic number.

34038289260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34038289260 is an abundant number, since it is smaller than the sum of its proper divisors (76462864020).

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

34038289260 is a wasteful number, since it uses less digits than its factorization.

34038289260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740644 (or 2740636 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34038289260 in words is "thirty-four billion, thirty-eight million, two hundred eighty-nine thousand, two hundred sixty".