349584998400 has 1080 divisors, whose sum is σ = 1409037097104. Its totient is φ = 82103500800.

The previous prime is 349584998353. The next prime is 349584998431. The reversal of 349584998400 is 4899485943.

349584998400 is a `hidden beast` number, since 3 + 4 + 9 + 584 + 9 + 9 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×349584998400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1500364684 + ... + 1500364916.

Almost surely, 2^349584998400 is an apocalyptic number.

349584998400 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 349584998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704518548552).

349584998400 is an abundant number, since it is smaller than the sum of its proper divisors (1059452098704).

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

349584998400 is a wasteful number, since it uses less digits than its factorization.

349584998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 349584998400 in words is "three hundred forty-nine billion, five hundred eighty-four million, nine hundred ninety-eight thousand, four hundred".