34212013440 has 128 divisors (see below), whose sum is σ = 118964574720. Its totient is φ = 8293816320.

The previous prime is 34212013403. The next prime is 34212013441. The reversal of 34212013440 is 4431021243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34212013440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34212013441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 788824 + ... + 831063.

It is an arithmetic number, because the mean of its divisors is an integer number (929410740).

Almost surely, 2^34212013440 is an apocalyptic number.

34212013440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34212013440 is an abundant number, since it is smaller than the sum of its proper divisors (84752561280).

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

34212013440 is a wasteful number, since it uses less digits than its factorization.

34212013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619920 (or 1619908 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34212013440 its reverse (4431021243), we get a palindrome (38643034683).

The spelling of 34212013440 in words is "thirty-four billion, two hundred twelve million, thirteen thousand, four hundred forty".