34110249840 has 120 divisors (see below), whose sum is σ = 118248943488. Its totient is φ = 8802639360.

The previous prime is 34110249829. The next prime is 34110249853. The reversal of 34110249840 is 4894201143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 34110249795 and 34110249804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741799 + ... + 786438.

Almost surely, 2^34110249840 is an apocalyptic number.

34110249840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34110249840 is an abundant number, since it is smaller than the sum of its proper divisors (84138693648).

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

34110249840 is a wasteful number, since it uses less digits than its factorization.

34110249840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528287 (or 1528278 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 34110249840 in words is "thirty-four billion, one hundred ten million, two hundred forty-nine thousand, eight hundred forty".