34943711040000 has 2400 divisors, whose sum is σ = 152361604929600. Its totient is φ = 7979295744000.

The previous prime is 34943711039971. The next prime is 34943711040047. The reversal of 34943711040000 is 4011734943.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34292159491 + ... + 34292160509.

It is an arithmetic number, because the mean of its divisors is an integer number (63484002054).

Almost surely, 2^{34943711040000} is an apocalyptic number.

34943711040000 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 34943711040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76180802464800).

34943711040000 is an abundant number, since it is smaller than the sum of its proper divisors (117417893889600).

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

34943711040000 is an frugal number, since it uses more digits than its factorization.

34943711040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 34943711040000 its reverse (4011734943), we get a palindrome (34947722774943).

The spelling of 34943711040000 in words is "thirty-four trillion, nine hundred forty-three billion, seven hundred eleven million, forty thousand".