349851789900 has 432 divisors, whose sum is σ = 1206014060160. Its totient is φ = 87722611200.

The previous prime is 349851789893. The next prime is 349851789949. The reversal of 349851789900 is 9987158943.

349851789900 is a `hidden beast` number, since 3 + 498 + 51 + 7 + 8 + 9 + 90 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63250135 + ... + 63255665.

Almost surely, 2^349851789900 is an apocalyptic number.

349851789900 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 349851789900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603007030080).

349851789900 is an abundant number, since it is smaller than the sum of its proper divisors (856162270260).

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

349851789900 is a wasteful number, since it uses less digits than its factorization.

349851789900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 349851789900 in words is "three hundred forty-nine billion, eight hundred fifty-one million, seven hundred eighty-nine thousand, nine hundred".