34106710440 has 96 divisors (see below), whose sum is σ = 112467630240. Its totient is φ = 8268289920.

The previous prime is 34106710423. The next prime is 34106710457. The reversal of 34106710440 is 4401760143.

It is an interprime number because it is at equal distance from previous prime (34106710423) and next prime (34106710457).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34106710398 and 34106710407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159954 + ... + 1188993.

It is an arithmetic number, because the mean of its divisors is an integer number (1171537815).

Almost surely, 2^34106710440 is an apocalyptic number.

34106710440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34106710440 is an abundant number, since it is smaller than the sum of its proper divisors (78360919800).

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

34106710440 is a wasteful number, since it uses less digits than its factorization.

34106710440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348983 (or 2348968 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 34106710440 in words is "thirty-four billion, one hundred six million, seven hundred ten thousand, four hundred forty".