34349540400000 has 3840 divisors, whose sum is σ = 158276019686400. Its totient is φ = 7216128000000.

The previous prime is 34349540399989. The next prime is 34349540400037. The reversal of 34349540400000 is 404594343.

It is a happy number.

34349540400000 is a `hidden beast` number, since 34 + 3 + 49 + 540 + 40 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 227480399925 + ... + 227480400075.

It is an arithmetic number, because the mean of its divisors is an integer number (41217713460).

Almost surely, 2^{34349540400000} is an apocalyptic number.

34349540400000 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 34349540400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79138009843200).

34349540400000 is an abundant number, since it is smaller than the sum of its proper divisors (123926479286400).

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

34349540400000 is an equidigital number, since it uses as much as digits as its factorization.

34349540400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 34349540400000 its reverse (404594343), we get a palindrome (34349944994343).

The spelling of 34349540400000 in words is "thirty-four trillion, three hundred forty-nine billion, five hundred forty million, four hundred thousand".