34410744377004 has 96 divisors (see below), whose sum is σ = 86171598938880. Its totient is φ = 10654178565888.

The previous prime is 34410744377003. The next prime is 34410744377011. The reversal of 34410744377004 is 40077344701443.

It is not an unprimeable number, because it can be changed into a prime (34410744377003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16578139 + ... + 18537965.

It is an arithmetic number, because the mean of its divisors is an integer number (897620822280).

Almost surely, 2^{34410744377004} 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 34410744377004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43085799469440).

34410744377004 is an abundant number, since it is smaller than the sum of its proper divisors (51760854561876).

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

34410744377004 is a wasteful number, since it uses less digits than its factorization.

34410744377004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961359 (or 1961357 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 48.

The spelling of 34410744377004 in words is "thirty-four trillion, four hundred ten billion, seven hundred forty-four million, three hundred seventy-seven thousand, four".