349420176000 has 1536 divisors, whose sum is σ = 1586859206400. Its totient is φ = 75091968000.

The previous prime is 349420175939. The next prime is 349420176029. The reversal of 349420176000 is 671024943.

349420176000 is a `hidden beast` number, since 3 + 4 + 9 + 42 + 0 + 1 + 7 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 359855515 + ... + 359856485.

Almost surely, 2^349420176000 is an apocalyptic number.

349420176000 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 349420176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793429603200).

349420176000 is an abundant number, since it is smaller than the sum of its proper divisors (1237439030400).

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

349420176000 is a wasteful number, since it uses less digits than its factorization.

349420176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1005 counting only the distinct ones).

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

The spelling of 349420176000 in words is "three hundred forty-nine billion, four hundred twenty million, one hundred seventy-six thousand".