350364611400 has 192 divisors, whose sum is σ = 1110170016000. Its totient is φ = 91365980160.

The previous prime is 350364611393. The next prime is 350364611411. The reversal of 350364611400 is 4116463053.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38714076 + ... + 38723124.

It is an arithmetic number, because the mean of its divisors is an integer number (5782135500).

Almost surely, 2^350364611400 is an apocalyptic number.

350364611400 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 350364611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555085008000).

350364611400 is an abundant number, since it is smaller than the sum of its proper divisors (759805404600).

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

350364611400 is a wasteful number, since it uses less digits than its factorization.

350364611400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10488 (or 10479 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 350364611400 in words is "three hundred fifty billion, three hundred sixty-four million, six hundred eleven thousand, four hundred".