349632142200 has 1728 divisors, whose sum is σ = 1476575493120. Its totient is φ = 76142592000.

The previous prime is 349632142187. The next prime is 349632142213. The reversal of 349632142200 is 2241236943.

349632142200 is a `hidden beast` number, since 3 + 4 + 9 + 632 + 14 + 2 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349632142187) and next prime (349632142213).

It is a super-2 number, since 2×349632142200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4789481364 + ... + 4789481436.

Almost surely, 2^349632142200 is an apocalyptic number.

349632142200 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 349632142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738287746560).

349632142200 is an abundant number, since it is smaller than the sum of its proper divisors (1126943350920).

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

349632142200 is a wasteful number, since it uses less digits than its factorization.

349632142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 349632142200 in words is "three hundred forty-nine billion, six hundred thirty-two million, one hundred forty-two thousand, two hundred".