34409693472000 has 4608 divisors, whose sum is σ = 159180827000832. Its totient is φ = 6423183360000.

The previous prime is 34409693471957. The next prime is 34409693472001. The reversal of 34409693472000 is 27439690443.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34409693472001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 471365663964 + ... + 471365664036.

It is an arithmetic number, because the mean of its divisors is an integer number (34544450304).

Almost surely, 2^{34409693472000} is an apocalyptic number.

34409693472000 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 34409693472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79590413500416).

34409693472000 is an abundant number, since it is smaller than the sum of its proper divisors (124771133528832).

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

34409693472000 is a wasteful number, since it uses less digits than its factorization.

34409693472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 34409693472000 in words is "thirty-four trillion, four hundred nine billion, six hundred ninety-three million, four hundred seventy-two thousand".