34006838440 has 64 divisors (see below), whose sum is σ = 77981304960. Its totient is φ = 13344602880.

The previous prime is 34006838431. The next prime is 34006838441. The reversal of 34006838440 is 4483860043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34006838393 and 34006838402.

It is not an unprimeable number, because it can be changed into a prime (34006838441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402270 + ... + 479410.

It is an arithmetic number, because the mean of its divisors is an integer number (1218457890).

Almost surely, 2^34006838440 is an apocalyptic number.

It is an amenable number.

34006838440 is an abundant number, since it is smaller than the sum of its proper divisors (43974466520).

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

34006838440 is a wasteful number, since it uses less digits than its factorization.

34006838440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77362 (or 77358 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 34006838440 in words is "thirty-four billion, six million, eight hundred thirty-eight thousand, four hundred forty".