349027434362880 has 1536 divisors, whose sum is σ = 1528172042342400. Its totient is φ = 73584200908800.

The previous prime is 349027434362879. The next prime is 349027434362923. The reversal of 349027434362880 is 88263434720943.

349027434362880 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 2 + 7 + 4 + 343 + 6 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 38016271890 + ... + 38016281070.

It is an arithmetic number, because the mean of its divisors is an integer number (994903673400).

Almost surely, 2^{349027434362880} is an apocalyptic number.

349027434362880 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 349027434362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764086021171200).

349027434362880 is an abundant number, since it is smaller than the sum of its proper divisors (1179144607979520).

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

349027434362880 is a wasteful number, since it uses less digits than its factorization.

349027434362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10748 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 349027434362880 in words is "three hundred forty-nine trillion, twenty-seven billion, four hundred thirty-four million, three hundred sixty-two thousand, eight hundred eighty".