34251445242420 has 192 divisors, whose sum is σ = 111847406899200. Its totient is φ = 7828485065856.

The previous prime is 34251445242401. The next prime is 34251445242439. The reversal of 34251445242420 is 2424254415243.

It is an interprime number because it is at equal distance from previous prime (34251445242401) and next prime (34251445242439).

It is a super-3 number, since 3×34251445242420³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 556514169 + ... + 556575711.

It is an arithmetic number, because the mean of its divisors is an integer number (582538577600).

Almost surely, 2^{34251445242420} is an apocalyptic number.

34251445242420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34251445242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55923703449600).

34251445242420 is an abundant number, since it is smaller than the sum of its proper divisors (77595961656780).

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

34251445242420 is a wasteful number, since it uses less digits than its factorization.

34251445242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88619 (or 88603 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 42.

Adding to 34251445242420 its reverse (2424254415243), we get a palindrome (36675699657663).

The spelling of 34251445242420 in words is "thirty-four trillion, two hundred fifty-one billion, four hundred forty-five million, two hundred forty-two thousand, four hundred twenty".