349911122400 has 720 divisors, whose sum is σ = 1544171229216. Its totient is φ = 75273338880.

The previous prime is 349911122377. The next prime is 349911122419. The reversal of 349911122400 is 4221119943.

349911122400 is a `hidden beast` number, since 3 + 49 + 91 + 1 + 122 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 7688512 + ... + 7733888.

Almost surely, 2^349911122400 is an apocalyptic number.

349911122400 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 349911122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772085614608).

349911122400 is an abundant number, since it is smaller than the sum of its proper divisors (1194260106816).

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

349911122400 is a wasteful number, since it uses less digits than its factorization.

349911122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45433 (or 45411 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 349911122400 in words is "three hundred forty-nine billion, nine hundred eleven million, one hundred twenty-two thousand, four hundred".