349698108211200 has 3600 divisors, whose sum is σ = 1636227763720704. Its totient is φ = 71939653632000.

The previous prime is 349698108211171. The next prime is 349698108211219. The reversal of 349698108211200 is 2112801896943.

It is a happy number.

349698108211200 is a `hidden beast` number, since 3 + 496 + 9 + 8 + 1 + 0 + 8 + 21 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 239 ways as a sum of consecutive naturals, for example, 90807089275 + ... + 90807093125.

Almost surely, 2^{349698108211200} is an apocalyptic number.

349698108211200 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 349698108211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818113881860352).

349698108211200 is an abundant number, since it is smaller than the sum of its proper divisors (1286529655509504).

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

349698108211200 is a wasteful number, since it uses less digits than its factorization.

349698108211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 349698108211200 in words is "three hundred forty-nine trillion, six hundred ninety-eight billion, one hundred eight million, two hundred eleven thousand, two hundred".