34420494240 has 768 divisors, whose sum is σ = 140652288000. Its totient is φ = 7773511680.

The previous prime is 34420494233. The next prime is 34420494287. The reversal of 34420494240 is 4249402443.

34420494240 is a `hidden beast` number, since 344 + 204 + 94 + 24 + 0 = 666.

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 = 34420494195 and 34420494204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60492676 + ... + 60493244.

It is an arithmetic number, because the mean of its divisors is an integer number (183141000).

Almost surely, 2^34420494240 is an apocalyptic number.

34420494240 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 34420494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70326144000).

34420494240 is an abundant number, since it is smaller than the sum of its proper divisors (106231793760).

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

34420494240 is a wasteful number, since it uses less digits than its factorization.

34420494240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34420494240 its reverse (4249402443), we get a palindrome (38669896683).

The spelling of 34420494240 in words is "thirty-four billion, four hundred twenty million, four hundred ninety-four thousand, two hundred forty".