34239408291840 has 240 divisors, whose sum is σ = 110021373181440. Its totient is φ = 9092290314240.

The previous prime is 34239408291821. The next prime is 34239408291857. The reversal of 34239408291840 is 4819280493243.

It is a happy number.

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

It is a super-2 number, since 2×34239408291840² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58445175 + ... + 59028105.

It is an arithmetic number, because the mean of its divisors is an integer number (458422388256).

Almost surely, 2^{34239408291840} is an apocalyptic number.

34239408291840 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 34239408291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55010686590720).

34239408291840 is an abundant number, since it is smaller than the sum of its proper divisors (75781964889600).

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

34239408291840 is an equidigital number, since it uses as much as digits as its factorization.

34239408291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583206 (or 583180 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 34239408291840 in words is "thirty-four trillion, two hundred thirty-nine billion, four hundred eight million, two hundred ninety-one thousand, eight hundred forty".