34401240000 has 560 divisors, whose sum is σ = 128974839840. Its totient is φ = 8985600000.

The previous prime is 34401239969. The next prime is 34401240011. The reversal of 34401240000 is 4210443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57239700 + ... + 57240300.

It is an arithmetic number, because the mean of its divisors is an integer number (230312214).

Almost surely, 2^34401240000 is an apocalyptic number.

34401240000 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 34401240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64487419920).

34401240000 is an abundant number, since it is smaller than the sum of its proper divisors (94573599840).

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

34401240000 is an equidigital number, since it uses as much as digits as its factorization.

34401240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34401240000 its reverse (4210443), we get a palindrome (34405450443).

The spelling of 34401240000 in words is "thirty-four billion, four hundred one million, two hundred forty thousand".