354978208200 has 576 divisors, whose sum is σ = 1405910016000. Its totient is φ = 72505382400.

The previous prime is 354978208133. The next prime is 354978208301. The reversal of 354978208200 is 2802879453.

It is a self number, because there is not a number n which added to its sum of digits gives 354978208200.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29977881 + ... + 29989719.

It is an arithmetic number, because the mean of its divisors is an integer number (2440816000).

Almost surely, 2^354978208200 is an apocalyptic number.

354978208200 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 354978208200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702955008000).

354978208200 is an abundant number, since it is smaller than the sum of its proper divisors (1050931807800).

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

354978208200 is a wasteful number, since it uses less digits than its factorization.

354978208200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11946 (or 11926 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 354978208200 in words is "three hundred fifty-four billion, nine hundred seventy-eight million, two hundred eight thousand, two hundred".