34969144000000 has 840 divisors, whose sum is σ = 104384464955496. Its totient is φ = 11660544000000.

The previous prime is 34969143999989. The next prime is 34969144000001. The reversal of 34969144000000 is 44196943.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34969144000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14503998795 + ... + 14504001205.

Almost surely, 2^{34969144000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34969144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52192232477748).

34969144000000 is an abundant number, since it is smaller than the sum of its proper divisors (69415320955496).

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

34969144000000 is an frugal number, since it uses more digits than its factorization.

34969144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

Adding to 34969144000000 its reverse (44196943), we get a palindrome (34969188196943).

It can be divided in two parts, 34969 and 144000000, that multiplied together give a square (5035536000000 = 2244000²).

The spelling of 34969144000000 in words is "thirty-four trillion, nine hundred sixty-nine billion, one hundred forty-four million", and thus it is an aban number.