355704749400 has 2304 divisors, whose sum is σ = 1634370393600. Its totient is φ = 62705664000.

The previous prime is 355704749399. The next prime is 355704749417. The reversal of 355704749400 is 4947407553.

It is a self number, because there is not a number n which added to its sum of digits gives 355704749400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4872667764 + ... + 4872667836.

It is an arithmetic number, because the mean of its divisors is an integer number (709362150).

Almost surely, 2^355704749400 is an apocalyptic number.

355704749400 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 355704749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817185196800).

355704749400 is an abundant number, since it is smaller than the sum of its proper divisors (1278665644200).

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

355704749400 is a wasteful number, since it uses less digits than its factorization.

355704749400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 355704749400 in words is "three hundred fifty-five billion, seven hundred four million, seven hundred forty-nine thousand, four hundred".