34024243440 has 240 divisors, whose sum is σ = 118904139648. Its totient is φ = 7981632000.

The previous prime is 34024243433. The next prime is 34024243441. The reversal of 34024243440 is 4434242043.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 34024243398 and 34024243407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024243441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2530335 + ... + 2543745.

Almost surely, 2^34024243440 is an apocalyptic number.

34024243440 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 34024243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59452069824).

34024243440 is an abundant number, since it is smaller than the sum of its proper divisors (84879896208).

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

34024243440 is a wasteful number, since it uses less digits than its factorization.

34024243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13500 (or 13463 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 34024243440 its reverse (4434242043), we get a palindrome (38458485483).

The spelling of 34024243440 in words is "thirty-four billion, twenty-four million, two hundred forty-three thousand, four hundred forty".