349046224511400 has 288 divisors, whose sum is σ = 1303105907550720. Its totient is φ = 83147487552000.

The previous prime is 349046224511399. The next prime is 349046224511423. The reversal of 349046224511400 is 4115422640943.

349046224511400 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 4 + 6 + 224 + 5 + 11 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239863396 + ... + 241314195.

Almost surely, 2^{349046224511400} is an apocalyptic number.

349046224511400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349046224511400 is an abundant number, since it is smaller than the sum of its proper divisors (954059683039320).

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

349046224511400 is a wasteful number, since it uses less digits than its factorization.

349046224511400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481177657 (or 481177645 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 349046224511400 in words is "three hundred forty-nine trillion, forty-six billion, two hundred twenty-four million, five hundred eleven thousand, four hundred".