349696600272000 has 1024 divisors, whose sum is σ = 1321885301068800. Its totient is φ = 90832472064000.

The previous prime is 349696600271959. The next prime is 349696600272013. The reversal of 349696600272000 is 272006696943.

349696600272000 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 9 + 6 + 600 + 2 + 7 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2714191582 + ... + 2714320418.

It is an arithmetic number, because the mean of its divisors is an integer number (1290903614325).

Almost surely, 2^{349696600272000} is an apocalyptic number.

349696600272000 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 349696600272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660942650534400).

349696600272000 is an abundant number, since it is smaller than the sum of its proper divisors (972188700796800).

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

349696600272000 is a wasteful number, since it uses less digits than its factorization.

349696600272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129039 (or 129011 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 349696600272000 in words is "three hundred forty-nine trillion, six hundred ninety-six billion, six hundred million, two hundred seventy-two thousand".