34401354240 has 320 divisors, whose sum is σ = 120450540672. Its totient is φ = 8306688000.

The previous prime is 34401354233. The next prime is 34401354271. The reversal of 34401354240 is 4245310443.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 34401354198 and 34401354207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26441590 + ... + 26442890.

Almost surely, 2^34401354240 is an apocalyptic number.

34401354240 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 34401354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60225270336).

34401354240 is an abundant number, since it is smaller than the sum of its proper divisors (86049186432).

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

34401354240 is a wasteful number, since it uses less digits than its factorization.

34401354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34401354240 its reverse (4245310443), we get a palindrome (38646664683).

The spelling of 34401354240 in words is "thirty-four billion, four hundred one million, three hundred fifty-four thousand, two hundred forty".